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Finding the Third Proportional to 145,356,738.38 and 223,423,372.88

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Solution

The third proportional to 145,356,738.38 and 223,423,372.88 is: 343,417,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356,738.38 : 223,423,372.88 = 223,423,372.88 : x
  2. Step 2: Convert to fraction form
    145,356,738.38/223,423,372.88 = 223,423,372.88/x
  3. Step 3: Cross multiply
    145,356,738.38x = 223,423,372.88 × 223,423,372.88
  4. Step 4: Simplify right side
    145,356,738.38x = 49,918,003,546,841,288
  5. Step 5: Solve for x
    x = 49,918,003,546,841,288/145,356,738.38
  6. Step 6: Final answer
    x = 343,417,196.24

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