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Finding the Third Proportional to 45,419,748.75 and 98,506,026

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Solution

The third proportional to 45,419,748.75 and 98,506,026 is: 213,639,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,419,748.75 : 98,506,026 = 98,506,026 : x
  2. Step 2: Convert to fraction form
    45,419,748.75/98,506,026 = 98,506,026/x
  3. Step 3: Cross multiply
    45,419,748.75x = 98,506,026 × 98,506,026
  4. Step 4: Simplify right side
    45,419,748.75x = 9,703,437,158,312,676
  5. Step 5: Solve for x
    x = 9,703,437,158,312,676/45,419,748.75
  6. Step 6: Final answer
    x = 213,639,164.14

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Why These Related Problems?

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