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Finding the Third Proportional to 143,316,694 and 292,648,838

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Solution

The third proportional to 143,316,694 and 292,648,838 is: 597,581,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,316,694 : 292,648,838 = 292,648,838 : x
  2. Step 2: Convert to fraction form
    143,316,694/292,648,838 = 292,648,838/x
  3. Step 3: Cross multiply
    143,316,694x = 292,648,838 × 292,648,838
  4. Step 4: Simplify right side
    143,316,694x = 85,643,342,382,750,240
  5. Step 5: Solve for x
    x = 85,643,342,382,750,240/143,316,694
  6. Step 6: Final answer
    x = 597,581,063.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.