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Finding the Third Proportional to 116,965,396 and 253,456,328

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Solution

The third proportional to 116,965,396 and 253,456,328 is: 549,223,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,965,396 : 253,456,328 = 253,456,328 : x
  2. Step 2: Convert to fraction form
    116,965,396/253,456,328 = 253,456,328/x
  3. Step 3: Cross multiply
    116,965,396x = 253,456,328 × 253,456,328
  4. Step 4: Simplify right side
    116,965,396x = 64,240,110,203,243,584
  5. Step 5: Solve for x
    x = 64,240,110,203,243,584/116,965,396
  6. Step 6: Final answer
    x = 549,223,209.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.