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Finding the Third Proportional to 186,916,968 and 409,070,448

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Solution

The third proportional to 186,916,968 and 409,070,448 is: 895,256,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,916,968 : 409,070,448 = 409,070,448 : x
  2. Step 2: Convert to fraction form
    186,916,968/409,070,448 = 409,070,448/x
  3. Step 3: Cross multiply
    186,916,968x = 409,070,448 × 409,070,448
  4. Step 4: Simplify right side
    186,916,968x = 167,338,631,426,920,704
  5. Step 5: Solve for x
    x = 167,338,631,426,920,704/186,916,968
  6. Step 6: Final answer
    x = 895,256,504.63

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Why These Related Problems?

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