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Finding the Third Proportional to 50,864,004 and 109,000,584

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Solution

The third proportional to 50,864,004 and 109,000,584 is: 233,586,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,864,004 : 109,000,584 = 109,000,584 : x
  2. Step 2: Convert to fraction form
    50,864,004/109,000,584 = 109,000,584/x
  3. Step 3: Cross multiply
    50,864,004x = 109,000,584 × 109,000,584
  4. Step 4: Simplify right side
    50,864,004x = 11,881,127,312,341,056
  5. Step 5: Solve for x
    x = 11,881,127,312,341,056/50,864,004
  6. Step 6: Final answer
    x = 233,586,158.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.