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Finding the Third Proportional to 61,742,759.25 and 121,924,000.50

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Solution

The third proportional to 61,742,759.25 and 121,924,000.50 is: 240,764,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,742,759.25 : 121,924,000.50 = 121,924,000.50 : x
  2. Step 2: Convert to fraction form
    61,742,759.25/121,924,000.50 = 121,924,000.50/x
  3. Step 3: Cross multiply
    61,742,759.25x = 121,924,000.50 × 121,924,000.50
  4. Step 4: Simplify right side
    61,742,759.25x = 14,865,461,897,924,000
  5. Step 5: Solve for x
    x = 14,865,461,897,924,000/61,742,759.25
  6. Step 6: Final answer
    x = 240,764,456.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.