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Finding the Third Proportional to 99,038,158 and 217,208,201

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Solution

The third proportional to 99,038,158 and 217,208,201 is: 476,376,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,038,158 : 217,208,201 = 217,208,201 : x
  2. Step 2: Convert to fraction form
    99,038,158/217,208,201 = 217,208,201/x
  3. Step 3: Cross multiply
    99,038,158x = 217,208,201 × 217,208,201
  4. Step 4: Simplify right side
    99,038,158x = 47,179,402,581,656,400
  5. Step 5: Solve for x
    x = 47,179,402,581,656,400/99,038,158
  6. Step 6: Final answer
    x = 476,376,010.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.