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Finding the Third Proportional to 157,272,541 and 342,157,009

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Solution

The third proportional to 157,272,541 and 342,157,009 is: 744,385,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,272,541 : 342,157,009 = 342,157,009 : x
  2. Step 2: Convert to fraction form
    157,272,541/342,157,009 = 342,157,009/x
  3. Step 3: Cross multiply
    157,272,541x = 342,157,009 × 342,157,009
  4. Step 4: Simplify right side
    157,272,541x = 117,071,418,807,826,080
  5. Step 5: Solve for x
    x = 117,071,418,807,826,080/157,272,541
  6. Step 6: Final answer
    x = 744,385,625.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.