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Finding the Third Proportional to 143,316,696 and 292,648,842

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Solution

The third proportional to 143,316,696 and 292,648,842 is: 597,581,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,316,696 : 292,648,842 = 292,648,842 : x
  2. Step 2: Convert to fraction form
    143,316,696/292,648,842 = 292,648,842/x
  3. Step 3: Cross multiply
    143,316,696x = 292,648,842 × 292,648,842
  4. Step 4: Simplify right side
    143,316,696x = 85,643,344,723,940,960
  5. Step 5: Solve for x
    x = 85,643,344,723,940,960/143,316,696
  6. Step 6: Final answer
    x = 597,581,071.25

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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.