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Finding the Third Proportional to 61,583,469.75 and 86,097,319.88

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Solution

The third proportional to 61,583,469.75 and 86,097,319.88 is: 120,369,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,583,469.75 : 86,097,319.88 = 86,097,319.88 : x
  2. Step 2: Convert to fraction form
    61,583,469.75/86,097,319.88 = 86,097,319.88/x
  3. Step 3: Cross multiply
    61,583,469.75x = 86,097,319.88 × 86,097,319.88
  4. Step 4: Simplify right side
    61,583,469.75x = 7,412,748,489,658,070
  5. Step 5: Solve for x
    x = 7,412,748,489,658,070/61,583,469.75
  6. Step 6: Final answer
    x = 120,369,126.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.