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Finding the Third Proportional to 68,461,689 and 152,230,434

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Solution

The third proportional to 68,461,689 and 152,230,434 is: 338,497,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461,689 : 152,230,434 = 152,230,434 : x
  2. Step 2: Convert to fraction form
    68,461,689/152,230,434 = 152,230,434/x
  3. Step 3: Cross multiply
    68,461,689x = 152,230,434 × 152,230,434
  4. Step 4: Simplify right side
    68,461,689x = 23,174,105,035,828,356
  5. Step 5: Solve for x
    x = 23,174,105,035,828,356/68,461,689
  6. Step 6: Final answer
    x = 338,497,419.13

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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.