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Finding the Third Proportional to 227,713,770 and 349,857,033.75

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Solution

The third proportional to 227,713,770 and 349,857,033.75 is: 537,516,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,713,770 : 349,857,033.75 = 349,857,033.75 : x
  2. Step 2: Convert to fraction form
    227,713,770/349,857,033.75 = 349,857,033.75/x
  3. Step 3: Cross multiply
    227,713,770x = 349,857,033.75 × 349,857,033.75
  4. Step 4: Simplify right side
    227,713,770x = 122,399,944,064,348,640
  5. Step 5: Solve for x
    x = 122,399,944,064,348,640/227,713,770
  6. Step 6: Final answer
    x = 537,516,655.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.