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Finding the Third Proportional to 228,047,984 and 497,912,380

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Solution

The third proportional to 228,047,984 and 497,912,380 is: 1,087,125,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047,984 : 497,912,380 = 497,912,380 : x
  2. Step 2: Convert to fraction form
    228,047,984/497,912,380 = 497,912,380/x
  3. Step 3: Cross multiply
    228,047,984x = 497,912,380 × 497,912,380
  4. Step 4: Simplify right side
    228,047,984x = 247,916,738,157,264,384
  5. Step 5: Solve for x
    x = 247,916,738,157,264,384/228,047,984
  6. Step 6: Final answer
    x = 1,087,125,322.53

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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.