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Finding the Third Proportional to 189,167,346 and 285,104,070

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Solution

The third proportional to 189,167,346 and 285,104,070 is: 429,695,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,167,346 : 285,104,070 = 285,104,070 : x
  2. Step 2: Convert to fraction form
    189,167,346/285,104,070 = 285,104,070/x
  3. Step 3: Cross multiply
    189,167,346x = 285,104,070 × 285,104,070
  4. Step 4: Simplify right side
    189,167,346x = 81,284,330,730,564,896
  5. Step 5: Solve for x
    x = 81,284,330,730,564,896/189,167,346
  6. Step 6: Final answer
    x = 429,695,359.42

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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.