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Finding the Third Proportional to 157,452,169 and 343,557,686

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Solution

The third proportional to 157,452,169 and 343,557,686 is: 749,636,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,452,169 : 343,557,686 = 343,557,686 : x
  2. Step 2: Convert to fraction form
    157,452,169/343,557,686 = 343,557,686/x
  3. Step 3: Cross multiply
    157,452,169x = 343,557,686 × 343,557,686
  4. Step 4: Simplify right side
    157,452,169x = 118,031,883,609,674,592
  5. Step 5: Solve for x
    x = 118,031,883,609,674,592/157,452,169
  6. Step 6: Final answer
    x = 749,636,441.08

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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.