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Finding the Third Proportional to 186,916,970 and 409,070,452

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Solution

The third proportional to 186,916,970 and 409,070,452 is: 895,256,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,916,970 : 409,070,452 = 409,070,452 : x
  2. Step 2: Convert to fraction form
    186,916,970/409,070,452 = 409,070,452/x
  3. Step 3: Cross multiply
    186,916,970x = 409,070,452 × 409,070,452
  4. Step 4: Simplify right side
    186,916,970x = 167,338,634,699,484,288
  5. Step 5: Solve for x
    x = 167,338,634,699,484,288/186,916,970
  6. Step 6: Final answer
    x = 895,256,512.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.