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Finding the Third Proportional to 188,058,547.13 and 284,927,706

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Solution

The third proportional to 188,058,547.13 and 284,927,706 is: 431,694,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,058,547.13 : 284,927,706 = 284,927,706 : x
  2. Step 2: Convert to fraction form
    188,058,547.13/284,927,706 = 284,927,706/x
  3. Step 3: Cross multiply
    188,058,547.13x = 284,927,706 × 284,927,706
  4. Step 4: Simplify right side
    188,058,547.13x = 81,183,797,646,422,432
  5. Step 5: Solve for x
    x = 81,183,797,646,422,432/188,058,547.13
  6. Step 6: Final answer
    x = 431,694,272.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.