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Finding the Third Proportional to 45,202,752 and 98,111,398.50

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Solution

The third proportional to 45,202,752 and 98,111,398.50 is: 212,948,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,202,752 : 98,111,398.50 = 98,111,398.50 : x
  2. Step 2: Convert to fraction form
    45,202,752/98,111,398.50 = 98,111,398.50/x
  3. Step 3: Cross multiply
    45,202,752x = 98,111,398.50 × 98,111,398.50
  4. Step 4: Simplify right side
    45,202,752x = 9,625,846,515,625,802
  5. Step 5: Solve for x
    x = 9,625,846,515,625,802/45,202,752
  6. Step 6: Final answer
    x = 212,948,240.75

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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.