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Finding the Third Proportional to 222,884,201 and 337,692,091

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Solution

The third proportional to 222,884,201 and 337,692,091 is: 511,637,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,884,201 : 337,692,091 = 337,692,091 : x
  2. Step 2: Convert to fraction form
    222,884,201/337,692,091 = 337,692,091/x
  3. Step 3: Cross multiply
    222,884,201x = 337,692,091 × 337,692,091
  4. Step 4: Simplify right side
    222,884,201x = 114,035,948,323,952,288
  5. Step 5: Solve for x
    x = 114,035,948,323,952,288/222,884,201
  6. Step 6: Final answer
    x = 511,637,647.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.