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Finding the Third Proportional to 74,180,655 and 109,048,852.50

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Solution

The third proportional to 74,180,655 and 109,048,852.50 is: 160,306,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,180,655 : 109,048,852.50 = 109,048,852.50 : x
  2. Step 2: Convert to fraction form
    74,180,655/109,048,852.50 = 109,048,852.50/x
  3. Step 3: Cross multiply
    74,180,655x = 109,048,852.50 × 109,048,852.50
  4. Step 4: Simplify right side
    74,180,655x = 11,891,652,231,566,756
  5. Step 5: Solve for x
    x = 11,891,652,231,566,756/74,180,655
  6. Step 6: Final answer
    x = 160,306,649.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.