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Finding the Third Proportional to 42,155,664.75 and 97,584,286.50

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Solution

The third proportional to 42,155,664.75 and 97,584,286.50 is: 225,893,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,155,664.75 : 97,584,286.50 = 97,584,286.50 : x
  2. Step 2: Convert to fraction form
    42,155,664.75/97,584,286.50 = 97,584,286.50/x
  3. Step 3: Cross multiply
    42,155,664.75x = 97,584,286.50 × 97,584,286.50
  4. Step 4: Simplify right side
    42,155,664.75x = 9,522,692,971,714,082
  5. Step 5: Solve for x
    x = 9,522,692,971,714,082/42,155,664.75
  6. Step 6: Final answer
    x = 225,893,554.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.