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Finding the Third Proportional to 68,439,926 and 152,181,508

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Solution

The third proportional to 68,439,926 and 152,181,508 is: 338,387,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,439,926 : 152,181,508 = 152,181,508 : x
  2. Step 2: Convert to fraction form
    68,439,926/152,181,508 = 152,181,508/x
  3. Step 3: Cross multiply
    68,439,926x = 152,181,508 × 152,181,508
  4. Step 4: Simplify right side
    68,439,926x = 23,159,211,377,154,064
  5. Step 5: Solve for x
    x = 23,159,211,377,154,064/68,439,926
  6. Step 6: Final answer
    x = 338,387,440.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.