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Finding the Third Proportional to 170,576,109 and 243,757,215

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Solution

The third proportional to 170,576,109 and 243,757,215 is: 348,334,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,576,109 : 243,757,215 = 243,757,215 : x
  2. Step 2: Convert to fraction form
    170,576,109/243,757,215 = 243,757,215/x
  3. Step 3: Cross multiply
    170,576,109x = 243,757,215 × 243,757,215
  4. Step 4: Simplify right side
    170,576,109x = 59,417,579,864,556,224
  5. Step 5: Solve for x
    x = 59,417,579,864,556,224/170,576,109
  6. Step 6: Final answer
    x = 348,334,712.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.