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Finding the Third Proportional to 31,853,209.50 and 69,784,016.06

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Solution

The third proportional to 31,853,209.50 and 69,784,016.06 is: 152,882,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853,209.50 : 69,784,016.06 = 69,784,016.06 : x
  2. Step 2: Convert to fraction form
    31,853,209.50/69,784,016.06 = 69,784,016.06/x
  3. Step 3: Cross multiply
    31,853,209.50x = 69,784,016.06 × 69,784,016.06
  4. Step 4: Simplify right side
    31,853,209.50x = 4,869,808,897,811,258
  5. Step 5: Solve for x
    x = 4,869,808,897,811,258/31,853,209.50
  6. Step 6: Final answer
    x = 152,882,832.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.