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Finding the Third Proportional to 189,484,275 and 285,626,092.50

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Solution

The third proportional to 189,484,275 and 285,626,092.50 is: 430,548,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,484,275 : 285,626,092.50 = 285,626,092.50 : x
  2. Step 2: Convert to fraction form
    189,484,275/285,626,092.50 = 285,626,092.50/x
  3. Step 3: Cross multiply
    189,484,275x = 285,626,092.50 × 285,626,092.50
  4. Step 4: Simplify right side
    189,484,275x = 81,582,264,716,818,560
  5. Step 5: Solve for x
    x = 81,582,264,716,818,560/189,484,275
  6. Step 6: Final answer
    x = 430,548,997.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.