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Finding the Third Proportional to 61,742,758.75 and 121,923,999.50

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Solution

The third proportional to 61,742,758.75 and 121,923,999.50 is: 240,764,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,742,758.75 : 121,923,999.50 = 121,923,999.50 : x
  2. Step 2: Convert to fraction form
    61,742,758.75/121,923,999.50 = 121,923,999.50/x
  3. Step 3: Cross multiply
    61,742,758.75x = 121,923,999.50 × 121,923,999.50
  4. Step 4: Simplify right side
    61,742,758.75x = 14,865,461,654,076,000
  5. Step 5: Solve for x
    x = 14,865,461,654,076,000/61,742,758.75
  6. Step 6: Final answer
    x = 240,764,454.89

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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.