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Finding the Third Proportional to 46,001.04 and 99,255.06

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Solution

The third proportional to 46,001.04 and 99,255.06 is: 214,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,001.04 : 99,255.06 = 99,255.06 : x
  2. Step 2: Convert to fraction form
    46,001.04/99,255.06 = 99,255.06/x
  3. Step 3: Cross multiply
    46,001.04x = 99,255.06 × 99,255.06
  4. Step 4: Simplify right side
    46,001.04x = 9,851,566,656.45
  5. Step 5: Solve for x
    x = 9,851,566,656.45/46,001.04
  6. Step 6: Final answer
    x = 214,159.66

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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.