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Finding the Third Proportional to 210,569,736 and 454,433,403.75

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Solution

The third proportional to 210,569,736 and 454,433,403.75 is: 980,718,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,569,736 : 454,433,403.75 = 454,433,403.75 : x
  2. Step 2: Convert to fraction form
    210,569,736/454,433,403.75 = 454,433,403.75/x
  3. Step 3: Cross multiply
    210,569,736x = 454,433,403.75 × 454,433,403.75
  4. Step 4: Simplify right side
    210,569,736x = 206,509,718,443,810,528
  5. Step 5: Solve for x
    x = 206,509,718,443,810,528/210,569,736
  6. Step 6: Final answer
    x = 980,718,893.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.