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Finding the Third Proportional to 228,169,377 and 498,150,315

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Solution

The third proportional to 228,169,377 and 498,150,315 is: 1,087,585,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,169,377 : 498,150,315 = 498,150,315 : x
  2. Step 2: Convert to fraction form
    228,169,377/498,150,315 = 498,150,315/x
  3. Step 3: Cross multiply
    228,169,377x = 498,150,315 × 498,150,315
  4. Step 4: Simplify right side
    228,169,377x = 248,153,736,334,599,232
  5. Step 5: Solve for x
    x = 248,153,736,334,599,232/228,169,377
  6. Step 6: Final answer
    x = 1,087,585,633.08

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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.