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Finding the Third Proportional to 210,359,540.25 and 314,361,951.75

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Solution

The third proportional to 210,359,540.25 and 314,361,951.75 is: 469,783,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,359,540.25 : 314,361,951.75 = 314,361,951.75 : x
  2. Step 2: Convert to fraction form
    210,359,540.25/314,361,951.75 = 314,361,951.75/x
  3. Step 3: Cross multiply
    210,359,540.25x = 314,361,951.75 × 314,361,951.75
  4. Step 4: Simplify right side
    210,359,540.25x = 98,823,436,708,069,328
  5. Step 5: Solve for x
    x = 98,823,436,708,069,328/210,359,540.25
  6. Step 6: Final answer
    x = 469,783,479.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.