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Finding the Third Proportional to 145,356,727 and 223,423,356

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Solution

The third proportional to 145,356,727 and 223,423,356 is: 343,417,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356,727 : 223,423,356 = 223,423,356 : x
  2. Step 2: Convert to fraction form
    145,356,727/223,423,356 = 223,423,356/x
  3. Step 3: Cross multiply
    145,356,727x = 223,423,356 × 223,423,356
  4. Step 4: Simplify right side
    145,356,727x = 49,917,996,006,302,736
  5. Step 5: Solve for x
    x = 49,917,996,006,302,736/145,356,727
  6. Step 6: Final answer
    x = 343,417,171.23

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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.