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Finding the Third Proportional to 145,356,616.13 and 223,423,145.44

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Solution

The third proportional to 145,356,616.13 and 223,423,145.44 is: 343,416,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356,616.13 : 223,423,145.44 = 223,423,145.44 : x
  2. Step 2: Convert to fraction form
    145,356,616.13/223,423,145.44 = 223,423,145.44/x
  3. Step 3: Cross multiply
    145,356,616.13x = 223,423,145.44 × 223,423,145.44
  4. Step 4: Simplify right side
    145,356,616.13x = 49,917,901,917,186,280
  5. Step 5: Solve for x
    x = 49,917,901,917,186,280/145,356,616.13
  6. Step 6: Final answer
    x = 343,416,785.89

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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.