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Finding the Third Proportional to 109,016,833.50 and 167,566,681.13

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Solution

The third proportional to 109,016,833.50 and 167,566,681.13 is: 257,561,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,016,833.50 : 167,566,681.13 = 167,566,681.13 : x
  2. Step 2: Convert to fraction form
    109,016,833.50/167,566,681.13 = 167,566,681.13/x
  3. Step 3: Cross multiply
    109,016,833.50x = 167,566,681.13 × 167,566,681.13
  4. Step 4: Simplify right side
    109,016,833.50x = 28,078,592,623,247,432
  5. Step 5: Solve for x
    x = 28,078,592,623,247,432/109,016,833.50
  6. Step 6: Final answer
    x = 257,561,990.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.