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Finding the Third Proportional to 255,071,744 and 357,916,224

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Solution

The third proportional to 255,071,744 and 357,916,224 is: 502,227,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,071,744 : 357,916,224 = 357,916,224 : x
  2. Step 2: Convert to fraction form
    255,071,744/357,916,224 = 357,916,224/x
  3. Step 3: Cross multiply
    255,071,744x = 357,916,224 × 357,916,224
  4. Step 4: Simplify right side
    255,071,744x = 128,104,023,402,418,176
  5. Step 5: Solve for x
    x = 128,104,023,402,418,176/255,071,744
  6. Step 6: Final answer
    x = 502,227,418.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.