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Finding the Third Proportional to 101,026,397.25 and 147,760,458.75

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Solution

The third proportional to 101,026,397.25 and 147,760,458.75 is: 216,113,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,397.25 : 147,760,458.75 = 147,760,458.75 : x
  2. Step 2: Convert to fraction form
    101,026,397.25/147,760,458.75 = 147,760,458.75/x
  3. Step 3: Cross multiply
    101,026,397.25x = 147,760,458.75 × 147,760,458.75
  4. Step 4: Simplify right side
    101,026,397.25x = 21,833,153,170,010,452
  5. Step 5: Solve for x
    x = 21,833,153,170,010,452/101,026,397.25
  6. Step 6: Final answer
    x = 216,113,350.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.