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Finding the Third Proportional to 170,539,749 and 375,083,943.75

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Solution

The third proportional to 170,539,749 and 375,083,943.75 is: 824,957,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,539,749 : 375,083,943.75 = 375,083,943.75 : x
  2. Step 2: Convert to fraction form
    170,539,749/375,083,943.75 = 375,083,943.75/x
  3. Step 3: Cross multiply
    170,539,749x = 375,083,943.75 × 375,083,943.75
  4. Step 4: Simplify right side
    170,539,749x = 140,687,964,859,053,168
  5. Step 5: Solve for x
    x = 140,687,964,859,053,168/170,539,749
  6. Step 6: Final answer
    x = 824,957,030.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.