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Finding the Third Proportional to 97,078,251.50 and 208,564,455.50

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Solution

The third proportional to 97,078,251.50 and 208,564,455.50 is: 448,083,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078,251.50 : 208,564,455.50 = 208,564,455.50 : x
  2. Step 2: Convert to fraction form
    97,078,251.50/208,564,455.50 = 208,564,455.50/x
  3. Step 3: Cross multiply
    97,078,251.50x = 208,564,455.50 × 208,564,455.50
  4. Step 4: Simplify right side
    97,078,251.50x = 43,499,132,098,011,480
  5. Step 5: Solve for x
    x = 43,499,132,098,011,480/97,078,251.50
  6. Step 6: Final answer
    x = 448,083,184.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.