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Finding the Third Proportional to 46,301.63 and 99,802.13

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Solution

The third proportional to 46,301.63 and 99,802.13 is: 215,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,301.63 : 99,802.13 = 99,802.13 : x
  2. Step 2: Convert to fraction form
    46,301.63/99,802.13 = 99,802.13/x
  3. Step 3: Cross multiply
    46,301.63x = 99,802.13 × 99,802.13
  4. Step 4: Simplify right side
    46,301.63x = 9,960,464,154.52
  5. Step 5: Solve for x
    x = 9,960,464,154.52/46,301.63
  6. Step 6: Final answer
    x = 215,121.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.