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Finding the Third Proportional to 186,227,762 and 438,990,659

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Solution

The third proportional to 186,227,762 and 438,990,659 is: 1,034,823,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,227,762 : 438,990,659 = 438,990,659 : x
  2. Step 2: Convert to fraction form
    186,227,762/438,990,659 = 438,990,659/x
  3. Step 3: Cross multiply
    186,227,762x = 438,990,659 × 438,990,659
  4. Step 4: Simplify right side
    186,227,762x = 192,712,798,689,254,272
  5. Step 5: Solve for x
    x = 192,712,798,689,254,272/186,227,762
  6. Step 6: Final answer
    x = 1,034,823,146.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.