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Finding the Third Proportional to 98,307 and 215,012.13

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Solution

The third proportional to 98,307 and 215,012.13 is: 470,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,307 : 215,012.13 = 215,012.13 : x
  2. Step 2: Convert to fraction form
    98,307/215,012.13 = 215,012.13/x
  3. Step 3: Cross multiply
    98,307x = 215,012.13 × 215,012.13
  4. Step 4: Simplify right side
    98,307x = 46,230,213,897.02
  5. Step 5: Solve for x
    x = 46,230,213,897.02/98,307
  6. Step 6: Final answer
    x = 470,263.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.