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Finding the Third Proportional to 186,207,796 and 404,646,628

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Solution

The third proportional to 186,207,796 and 404,646,628 is: 879,334,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,207,796 : 404,646,628 = 404,646,628 : x
  2. Step 2: Convert to fraction form
    186,207,796/404,646,628 = 404,646,628/x
  3. Step 3: Cross multiply
    186,207,796x = 404,646,628 × 404,646,628
  4. Step 4: Simplify right side
    186,207,796x = 163,738,893,551,770,368
  5. Step 5: Solve for x
    x = 163,738,893,551,770,368/186,207,796
  6. Step 6: Final answer
    x = 879,334,254.90

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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.