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Finding the Third Proportional to 172,290,995.44 and 260,487,865.13

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Solution

The third proportional to 172,290,995.44 and 260,487,865.13 is: 393,833,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,290,995.44 : 260,487,865.13 = 260,487,865.13 : x
  2. Step 2: Convert to fraction form
    172,290,995.44/260,487,865.13 = 260,487,865.13/x
  3. Step 3: Cross multiply
    172,290,995.44x = 260,487,865.13 × 260,487,865.13
  4. Step 4: Simplify right side
    172,290,995.44x = 67,853,927,877,380,192
  5. Step 5: Solve for x
    x = 67,853,927,877,380,192/172,290,995.44
  6. Step 6: Final answer
    x = 393,833,280.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.