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Finding the Third Proportional to 145,438,359.05 and 204,078,811.50

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Solution

The third proportional to 145,438,359.05 and 204,078,811.50 is: 286,362,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,438,359.05 : 204,078,811.50 = 204,078,811.50 : x
  2. Step 2: Convert to fraction form
    145,438,359.05/204,078,811.50 = 204,078,811.50/x
  3. Step 3: Cross multiply
    145,438,359.05x = 204,078,811.50 × 204,078,811.50
  4. Step 4: Simplify right side
    145,438,359.05x = 41,648,161,303,252,536
  5. Step 5: Solve for x
    x = 41,648,161,303,252,536/145,438,359.05
  6. Step 6: Final answer
    x = 286,362,975.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.