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Finding the Third Proportional to 67,132,840.50 and 146,745,654.75

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Solution

The third proportional to 67,132,840.50 and 146,745,654.75 is: 320,771,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,840.50 : 146,745,654.75 = 146,745,654.75 : x
  2. Step 2: Convert to fraction form
    67,132,840.50/146,745,654.75 = 146,745,654.75/x
  3. Step 3: Cross multiply
    67,132,840.50x = 146,745,654.75 × 146,745,654.75
  4. Step 4: Simplify right side
    67,132,840.50x = 21,534,287,188,006,196
  5. Step 5: Solve for x
    x = 21,534,287,188,006,196/67,132,840.50
  6. Step 6: Final answer
    x = 320,771,280.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.