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Finding the Third Proportional to 101,026,390 and 147,760,448

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Solution

The third proportional to 101,026,390 and 147,760,448 is: 216,113,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,390 : 147,760,448 = 147,760,448 : x
  2. Step 2: Convert to fraction form
    101,026,390/147,760,448 = 147,760,448/x
  3. Step 3: Cross multiply
    101,026,390x = 147,760,448 × 147,760,448
  4. Step 4: Simplify right side
    101,026,390x = 21,833,149,993,160,704
  5. Step 5: Solve for x
    x = 21,833,149,993,160,704/101,026,390
  6. Step 6: Final answer
    x = 216,113,334.28

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