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Finding the Third Proportional to 68,461,691 and 152,230,437

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Solution

The third proportional to 68,461,691 and 152,230,437 is: 338,497,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461,691 : 152,230,437 = 152,230,437 : x
  2. Step 2: Convert to fraction form
    68,461,691/152,230,437 = 152,230,437/x
  3. Step 3: Cross multiply
    68,461,691x = 152,230,437 × 152,230,437
  4. Step 4: Simplify right side
    68,461,691x = 23,174,105,949,210,968
  5. Step 5: Solve for x
    x = 23,174,105,949,210,968/68,461,691
  6. Step 6: Final answer
    x = 338,497,422.58

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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.