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Finding the Third Proportional to 45,634,864.50 and 107,618,728.50

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Solution

The third proportional to 45,634,864.50 and 107,618,728.50 is: 253,792,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,634,864.50 : 107,618,728.50 = 107,618,728.50 : x
  2. Step 2: Convert to fraction form
    45,634,864.50/107,618,728.50 = 107,618,728.50/x
  3. Step 3: Cross multiply
    45,634,864.50x = 107,618,728.50 × 107,618,728.50
  4. Step 4: Simplify right side
    45,634,864.50x = 11,581,790,723,956,712
  5. Step 5: Solve for x
    x = 11,581,790,723,956,712/45,634,864.50
  6. Step 6: Final answer
    x = 253,792,595.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.