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Finding the Third Proportional to 98,986,083 and 149,753,148

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Solution

The third proportional to 98,986,083 and 149,753,148 is: 226,557,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,986,083 : 149,753,148 = 149,753,148 : x
  2. Step 2: Convert to fraction form
    98,986,083/149,753,148 = 149,753,148/x
  3. Step 3: Cross multiply
    98,986,083x = 149,753,148 × 149,753,148
  4. Step 4: Simplify right side
    98,986,083x = 22,426,005,335,909,904
  5. Step 5: Solve for x
    x = 22,426,005,335,909,904/98,986,083
  6. Step 6: Final answer
    x = 226,557,154.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.