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Finding the Third Proportional to 186,207,776 and 404,646,586

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Solution

The third proportional to 186,207,776 and 404,646,586 is: 879,334,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,207,776 : 404,646,586 = 404,646,586 : x
  2. Step 2: Convert to fraction form
    186,207,776/404,646,586 = 404,646,586/x
  3. Step 3: Cross multiply
    186,207,776x = 404,646,586 × 404,646,586
  4. Step 4: Simplify right side
    186,207,776x = 163,738,859,561,455,392
  5. Step 5: Solve for x
    x = 163,738,859,561,455,392/186,207,776
  6. Step 6: Final answer
    x = 879,334,166.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.