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Finding the Third Proportional to 243,952,579.93 and 371,646,016.80

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Solution

The third proportional to 243,952,579.93 and 371,646,016.80 is: 566,178,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,952,579.93 : 371,646,016.80 = 371,646,016.80 : x
  2. Step 2: Convert to fraction form
    243,952,579.93/371,646,016.80 = 371,646,016.80/x
  3. Step 3: Cross multiply
    243,952,579.93x = 371,646,016.80 × 371,646,016.80
  4. Step 4: Simplify right side
    243,952,579.93x = 138,120,761,806,784,480
  5. Step 5: Solve for x
    x = 138,120,761,806,784,480/243,952,579.93
  6. Step 6: Final answer
    x = 566,178,729.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.