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Finding the Third Proportional to 226,395,936,417 and 484,595,121,856.50

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Solution

The third proportional to 226,395,936,417 and 484,595,121,856.50 is: 1,037,264,342,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,395,936,417 : 484,595,121,856.50 = 484,595,121,856.50 : x
  2. Step 2: Convert to fraction form
    226,395,936,417/484,595,121,856.50 = 484,595,121,856.50/x
  3. Step 3: Cross multiply
    226,395,936,417x = 484,595,121,856.50 × 484,595,121,856.50
  4. Step 4: Simplify right side
    226,395,936,417x = 234,832,432,127,116,096,569,344
  5. Step 5: Solve for x
    x = 234,832,432,127,116,096,569,344/226,395,936,417
  6. Step 6: Final answer
    x = 1,037,264,342,477.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.