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Finding the Third Proportional to 98,088.47 and 147,854.11

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Solution

The third proportional to 98,088.47 and 147,854.11 is: 222,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,088.47 : 147,854.11 = 147,854.11 : x
  2. Step 2: Convert to fraction form
    98,088.47/147,854.11 = 147,854.11/x
  3. Step 3: Cross multiply
    98,088.47x = 147,854.11 × 147,854.11
  4. Step 4: Simplify right side
    98,088.47x = 21,860,837,659.07
  5. Step 5: Solve for x
    x = 21,860,837,659.07/98,088.47
  6. Step 6: Final answer
    x = 222,868.58

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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.