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Finding the Third Proportional to 97,951,729.50 and 141,596,509.50

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Solution

The third proportional to 97,951,729.50 and 141,596,509.50 is: 204,688,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,951,729.50 : 141,596,509.50 = 141,596,509.50 : x
  2. Step 2: Convert to fraction form
    97,951,729.50/141,596,509.50 = 141,596,509.50/x
  3. Step 3: Cross multiply
    97,951,729.50x = 141,596,509.50 × 141,596,509.50
  4. Step 4: Simplify right side
    97,951,729.50x = 20,049,571,502,583,592
  5. Step 5: Solve for x
    x = 20,049,571,502,583,592/97,951,729.50
  6. Step 6: Final answer
    x = 204,688,284.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.