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Finding the Third Proportional to 157,674,824 and 337,140,160

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Solution

The third proportional to 157,674,824 and 337,140,160 is: 720,872,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,674,824 : 337,140,160 = 337,140,160 : x
  2. Step 2: Convert to fraction form
    157,674,824/337,140,160 = 337,140,160/x
  3. Step 3: Cross multiply
    157,674,824x = 337,140,160 × 337,140,160
  4. Step 4: Simplify right side
    157,674,824x = 113,663,487,484,825,600
  5. Step 5: Solve for x
    x = 113,663,487,484,825,600/157,674,824
  6. Step 6: Final answer
    x = 720,872,772.21

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