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Finding the Third Proportional to 45,974,856 and 98,195,730

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Solution

The third proportional to 45,974,856 and 98,195,730 is: 209,732,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,974,856 : 98,195,730 = 98,195,730 : x
  2. Step 2: Convert to fraction form
    45,974,856/98,195,730 = 98,195,730/x
  3. Step 3: Cross multiply
    45,974,856x = 98,195,730 × 98,195,730
  4. Step 4: Simplify right side
    45,974,856x = 9,642,401,390,232,900
  5. Step 5: Solve for x
    x = 9,642,401,390,232,900/45,974,856
  6. Step 6: Final answer
    x = 209,732,062.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.