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Finding the Third Proportional to 162,132,157,320 and 337,683,894,766

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Solution

The third proportional to 162,132,157,320 and 337,683,894,766 is: 703,317,680,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,132,157,320 : 337,683,894,766 = 337,683,894,766 : x
  2. Step 2: Convert to fraction form
    162,132,157,320/337,683,894,766 = 337,683,894,766/x
  3. Step 3: Cross multiply
    162,132,157,320x = 337,683,894,766 × 337,683,894,766
  4. Step 4: Simplify right side
    162,132,157,320x = 114,030,412,784,334,958,231,552
  5. Step 5: Solve for x
    x = 114,030,412,784,334,958,231,552/162,132,157,320
  6. Step 6: Final answer
    x = 703,317,680,275.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.