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Finding the Third Proportional to 189,064,434 and 410,396,028

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Solution

The third proportional to 189,064,434 and 410,396,028 is: 890,833,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064,434 : 410,396,028 = 410,396,028 : x
  2. Step 2: Convert to fraction form
    189,064,434/410,396,028 = 410,396,028/x
  3. Step 3: Cross multiply
    189,064,434x = 410,396,028 × 410,396,028
  4. Step 4: Simplify right side
    189,064,434x = 168,424,899,798,176,768
  5. Step 5: Solve for x
    x = 168,424,899,798,176,768/189,064,434
  6. Step 6: Final answer
    x = 890,833,332.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.