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Finding the Third Proportional to 210,359,542.50 and 314,361,955.13

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Solution

The third proportional to 210,359,542.50 and 314,361,955.13 is: 469,783,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,359,542.50 : 314,361,955.13 = 314,361,955.13 : x
  2. Step 2: Convert to fraction form
    210,359,542.50/314,361,955.13 = 314,361,955.13/x
  3. Step 3: Cross multiply
    210,359,542.50x = 314,361,955.13 × 314,361,955.13
  4. Step 4: Simplify right side
    210,359,542.50x = 98,823,438,830,012,512
  5. Step 5: Solve for x
    x = 98,823,438,830,012,512/210,359,542.50
  6. Step 6: Final answer
    x = 469,783,484.29

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Why These Related Problems?

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