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Finding the Third Proportional to 99,369 and 147,703

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Solution

The third proportional to 99,369 and 147,703 is: 219,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,369 : 147,703 = 147,703 : x
  2. Step 2: Convert to fraction form
    99,369/147,703 = 147,703/x
  3. Step 3: Cross multiply
    99,369x = 147,703 × 147,703
  4. Step 4: Simplify right side
    99,369x = 21,816,176,209
  5. Step 5: Solve for x
    x = 21,816,176,209/99,369
  6. Step 6: Final answer
    x = 219,547.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.