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Finding the Third Proportional to 100,542,300 and 153,735,216

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Solution

The third proportional to 100,542,300 and 153,735,216 is: 235,070,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542,300 : 153,735,216 = 153,735,216 : x
  2. Step 2: Convert to fraction form
    100,542,300/153,735,216 = 153,735,216/x
  3. Step 3: Cross multiply
    100,542,300x = 153,735,216 × 153,735,216
  4. Step 4: Simplify right side
    100,542,300x = 23,634,516,638,566,656
  5. Step 5: Solve for x
    x = 23,634,516,638,566,656/100,542,300
  6. Step 6: Final answer
    x = 235,070,379.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.