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Finding the Third Proportional to 100,540,818 and 216,953,224.50

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Solution

The third proportional to 100,540,818 and 216,953,224.50 is: 468,155,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,540,818 : 216,953,224.50 = 216,953,224.50 : x
  2. Step 2: Convert to fraction form
    100,540,818/216,953,224.50 = 216,953,224.50/x
  3. Step 3: Cross multiply
    100,540,818x = 216,953,224.50 × 216,953,224.50
  4. Step 4: Simplify right side
    100,540,818x = 47,068,701,620,947,400
  5. Step 5: Solve for x
    x = 47,068,701,620,947,400/100,540,818
  6. Step 6: Final answer
    x = 468,155,148.90

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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.