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Finding the Third Proportional to 222,595,132 and 307,584,402

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Solution

The third proportional to 222,595,132 and 307,584,402 is: 425,023,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,595,132 : 307,584,402 = 307,584,402 : x
  2. Step 2: Convert to fraction form
    222,595,132/307,584,402 = 307,584,402/x
  3. Step 3: Cross multiply
    222,595,132x = 307,584,402 × 307,584,402
  4. Step 4: Simplify right side
    222,595,132x = 94,608,164,353,697,600
  5. Step 5: Solve for x
    x = 94,608,164,353,697,600/222,595,132
  6. Step 6: Final answer
    x = 425,023,510.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.