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Finding the Third Proportional to 145,356,788.25 and 223,423,410.38

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Solution

The third proportional to 145,356,788.25 and 223,423,410.38 is: 343,417,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356,788.25 : 223,423,410.38 = 223,423,410.38 : x
  2. Step 2: Convert to fraction form
    145,356,788.25/223,423,410.38 = 223,423,410.38/x
  3. Step 3: Cross multiply
    145,356,788.25x = 223,423,410.38 × 223,423,410.38
  4. Step 4: Simplify right side
    145,356,788.25x = 49,918,020,303,595,656
  5. Step 5: Solve for x
    x = 49,918,020,303,595,656/145,356,788.25
  6. Step 6: Final answer
    x = 343,417,193.68

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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.