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Finding the Third Proportional to 155,856,575 and 338,840,820

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Solution

The third proportional to 155,856,575 and 338,840,820 is: 736,658,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,856,575 : 338,840,820 = 338,840,820 : x
  2. Step 2: Convert to fraction form
    155,856,575/338,840,820 = 338,840,820/x
  3. Step 3: Cross multiply
    155,856,575x = 338,840,820 × 338,840,820
  4. Step 4: Simplify right side
    155,856,575x = 114,813,101,298,272,400
  5. Step 5: Solve for x
    x = 114,813,101,298,272,400/155,856,575
  6. Step 6: Final answer
    x = 736,658,695.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.