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Finding the Third Proportional to 169,537,984 and 366,179,216

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Solution

The third proportional to 169,537,984 and 366,179,216 is: 790,897,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,537,984 : 366,179,216 = 366,179,216 : x
  2. Step 2: Convert to fraction form
    169,537,984/366,179,216 = 366,179,216/x
  3. Step 3: Cross multiply
    169,537,984x = 366,179,216 × 366,179,216
  4. Step 4: Simplify right side
    169,537,984x = 134,087,218,230,374,656
  5. Step 5: Solve for x
    x = 134,087,218,230,374,656/169,537,984
  6. Step 6: Final answer
    x = 790,897,798.04

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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.