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Finding the Third Proportional to 101,026,452 and 147,760,537.50

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Solution

The third proportional to 101,026,452 and 147,760,537.50 is: 216,113,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,452 : 147,760,537.50 = 147,760,537.50 : x
  2. Step 2: Convert to fraction form
    101,026,452/147,760,537.50 = 147,760,537.50/x
  3. Step 3: Cross multiply
    101,026,452x = 147,760,537.50 × 147,760,537.50
  4. Step 4: Simplify right side
    101,026,452x = 21,833,176,442,288,908
  5. Step 5: Solve for x
    x = 21,833,176,442,288,908/101,026,452
  6. Step 6: Final answer
    x = 216,113,463.45

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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.