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Finding the Third Proportional to 43,301 and 93,048.13

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Solution

The third proportional to 43,301 and 93,048.13 is: 199,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,301 : 93,048.13 = 93,048.13 : x
  2. Step 2: Convert to fraction form
    43,301/93,048.13 = 93,048.13/x
  3. Step 3: Cross multiply
    43,301x = 93,048.13 × 93,048.13
  4. Step 4: Simplify right side
    43,301x = 8,657,953,566.02
  5. Step 5: Solve for x
    x = 8,657,953,566.02/43,301
  6. Step 6: Final answer
    x = 199,948.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.