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Finding the Third Proportional to 55,238,724.75 and 83,088,711

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Solution

The third proportional to 55,238,724.75 and 83,088,711 is: 124,979,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,238,724.75 : 83,088,711 = 83,088,711 : x
  2. Step 2: Convert to fraction form
    55,238,724.75/83,088,711 = 83,088,711/x
  3. Step 3: Cross multiply
    55,238,724.75x = 83,088,711 × 83,088,711
  4. Step 4: Simplify right side
    55,238,724.75x = 6,903,733,895,641,521
  5. Step 5: Solve for x
    x = 6,903,733,895,641,521/55,238,724.75
  6. Step 6: Final answer
    x = 124,979,965.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.