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Finding the Third Proportional to 157,272,546 and 342,157,017

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Solution

The third proportional to 157,272,546 and 342,157,017 is: 744,385,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,272,546 : 342,157,017 = 342,157,017 : x
  2. Step 2: Convert to fraction form
    157,272,546/342,157,017 = 342,157,017/x
  3. Step 3: Cross multiply
    157,272,546x = 342,157,017 × 342,157,017
  4. Step 4: Simplify right side
    157,272,546x = 117,071,424,282,338,288
  5. Step 5: Solve for x
    x = 117,071,424,282,338,288/157,272,546
  6. Step 6: Final answer
    x = 744,385,636.65

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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.