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Finding the Third Proportional to 145,356,786 and 223,423,407

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Solution

The third proportional to 145,356,786 and 223,423,407 is: 343,417,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356,786 : 223,423,407 = 223,423,407 : x
  2. Step 2: Convert to fraction form
    145,356,786/223,423,407 = 223,423,407/x
  3. Step 3: Cross multiply
    145,356,786x = 223,423,407 × 223,423,407
  4. Step 4: Simplify right side
    145,356,786x = 49,918,018,795,487,648
  5. Step 5: Solve for x
    x = 49,918,018,795,487,648/145,356,786
  6. Step 6: Final answer
    x = 343,417,188.62

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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.