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Finding the Third Proportional to 145,356,723 and 223,423,290

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Solution

The third proportional to 145,356,723 and 223,423,290 is: 343,416,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356,723 : 223,423,290 = 223,423,290 : x
  2. Step 2: Convert to fraction form
    145,356,723/223,423,290 = 223,423,290/x
  3. Step 3: Cross multiply
    145,356,723x = 223,423,290 × 223,423,290
  4. Step 4: Simplify right side
    145,356,723x = 49,917,966,514,424,096
  5. Step 5: Solve for x
    x = 49,917,966,514,424,096/145,356,723
  6. Step 6: Final answer
    x = 343,416,977.79

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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.