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Finding the Third Proportional to 145,135,481 and 313,359,202

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Solution

The third proportional to 145,135,481 and 313,359,202 is: 676,567,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,135,481 : 313,359,202 = 313,359,202 : x
  2. Step 2: Convert to fraction form
    145,135,481/313,359,202 = 313,359,202/x
  3. Step 3: Cross multiply
    145,135,481x = 313,359,202 × 313,359,202
  4. Step 4: Simplify right side
    145,135,481x = 98,193,989,478,076,800
  5. Step 5: Solve for x
    x = 98,193,989,478,076,800/145,135,481
  6. Step 6: Final answer
    x = 676,567,775.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.