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Finding the Third Proportional to 70,549,128 and 151,909,758

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Solution

The third proportional to 70,549,128 and 151,909,758 is: 327,099,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,549,128 : 151,909,758 = 151,909,758 : x
  2. Step 2: Convert to fraction form
    70,549,128/151,909,758 = 151,909,758/x
  3. Step 3: Cross multiply
    70,549,128x = 151,909,758 × 151,909,758
  4. Step 4: Simplify right side
    70,549,128x = 23,076,574,575,618,564
  5. Step 5: Solve for x
    x = 23,076,574,575,618,564/70,549,128
  6. Step 6: Final answer
    x = 327,099,359.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.