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Finding the Third Proportional to 170,345,580 and 370,584,708

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Solution

The third proportional to 170,345,580 and 370,584,708 is: 806,202,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,345,580 : 370,584,708 = 370,584,708 : x
  2. Step 2: Convert to fraction form
    170,345,580/370,584,708 = 370,584,708/x
  3. Step 3: Cross multiply
    170,345,580x = 370,584,708 × 370,584,708
  4. Step 4: Simplify right side
    170,345,580x = 137,333,025,803,445,264
  5. Step 5: Solve for x
    x = 137,333,025,803,445,264/170,345,580
  6. Step 6: Final answer
    x = 806,202,460.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.