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Finding the Third Proportional to 157,280,511 and 235,920,789

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Solution

The third proportional to 157,280,511 and 235,920,789 is: 353,881,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,280,511 : 235,920,789 = 235,920,789 : x
  2. Step 2: Convert to fraction form
    157,280,511/235,920,789 = 235,920,789/x
  3. Step 3: Cross multiply
    157,280,511x = 235,920,789 × 235,920,789
  4. Step 4: Simplify right side
    157,280,511x = 55,658,618,682,382,520
  5. Step 5: Solve for x
    x = 55,658,618,682,382,520/157,280,511
  6. Step 6: Final answer
    x = 353,881,217.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.