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Finding the Third Proportional to 99,248.63 and 216,340.88

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Solution

The third proportional to 99,248.63 and 216,340.88 is: 471,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,248.63 : 216,340.88 = 216,340.88 : x
  2. Step 2: Convert to fraction form
    99,248.63/216,340.88 = 216,340.88/x
  3. Step 3: Cross multiply
    99,248.63x = 216,340.88 × 216,340.88
  4. Step 4: Simplify right side
    99,248.63x = 46,803,374,195.77
  5. Step 5: Solve for x
    x = 46,803,374,195.77/99,248.63
  6. Step 6: Final answer
    x = 471,577.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.