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Finding the Third Proportional to 186,207,770 and 404,646,574

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Solution

The third proportional to 186,207,770 and 404,646,574 is: 879,334,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,207,770 : 404,646,574 = 404,646,574 : x
  2. Step 2: Convert to fraction form
    186,207,770/404,646,574 = 404,646,574/x
  3. Step 3: Cross multiply
    186,207,770x = 404,646,574 × 404,646,574
  4. Step 4: Simplify right side
    186,207,770x = 163,738,849,849,937,472
  5. Step 5: Solve for x
    x = 163,738,849,849,937,472/186,207,770
  6. Step 6: Final answer
    x = 879,334,142.98

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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.