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Finding the Third Proportional to 150,847,602 and 230,657,433

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Solution

The third proportional to 150,847,602 and 230,657,433 is: 352,692,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,847,602 : 230,657,433 = 230,657,433 : x
  2. Step 2: Convert to fraction form
    150,847,602/230,657,433 = 230,657,433/x
  3. Step 3: Cross multiply
    150,847,602x = 230,657,433 × 230,657,433
  4. Step 4: Simplify right side
    150,847,602x = 53,202,851,398,149,488
  5. Step 5: Solve for x
    x = 53,202,851,398,149,488/150,847,602
  6. Step 6: Final answer
    x = 352,692,722.28

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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.