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Finding the Third Proportional to 136,311,851 and 293,408,959

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Solution

The third proportional to 136,311,851 and 293,408,959 is: 631,557,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,311,851 : 293,408,959 = 293,408,959 : x
  2. Step 2: Convert to fraction form
    136,311,851/293,408,959 = 293,408,959/x
  3. Step 3: Cross multiply
    136,311,851x = 293,408,959 × 293,408,959
  4. Step 4: Simplify right side
    136,311,851x = 86,088,817,221,463,680
  5. Step 5: Solve for x
    x = 86,088,817,221,463,680/136,311,851
  6. Step 6: Final answer
    x = 631,557,832.94

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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.