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Finding the Third Proportional to 68,461,687.25 and 152,230,430.50

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Solution

The third proportional to 68,461,687.25 and 152,230,430.50 is: 338,497,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461,687.25 : 152,230,430.50 = 152,230,430.50 : x
  2. Step 2: Convert to fraction form
    68,461,687.25/152,230,430.50 = 152,230,430.50/x
  3. Step 3: Cross multiply
    68,461,687.25x = 152,230,430.50 × 152,230,430.50
  4. Step 4: Simplify right side
    68,461,687.25x = 23,174,103,970,215,332
  5. Step 5: Solve for x
    x = 23,174,103,970,215,332/68,461,687.25
  6. Step 6: Final answer
    x = 338,497,412.22

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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.