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Finding the Third Proportional to 51,988,909.50 and 112,646,813.63

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Solution

The third proportional to 51,988,909.50 and 112,646,813.63 is: 244,077,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988,909.50 : 112,646,813.63 = 112,646,813.63 : x
  2. Step 2: Convert to fraction form
    51,988,909.50/112,646,813.63 = 112,646,813.63/x
  3. Step 3: Cross multiply
    51,988,909.50x = 112,646,813.63 × 112,646,813.63
  4. Step 4: Simplify right side
    51,988,909.50x = 12,689,304,619,865,486
  5. Step 5: Solve for x
    x = 12,689,304,619,865,486/51,988,909.50
  6. Step 6: Final answer
    x = 244,077,145.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.