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Finding the Third Proportional to 49,563,160 and 107,362,184

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Solution

The third proportional to 49,563,160 and 107,362,184 is: 232,564,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,160 : 107,362,184 = 107,362,184 : x
  2. Step 2: Convert to fraction form
    49,563,160/107,362,184 = 107,362,184/x
  3. Step 3: Cross multiply
    49,563,160x = 107,362,184 × 107,362,184
  4. Step 4: Simplify right side
    49,563,160x = 11,526,638,553,249,856
  5. Step 5: Solve for x
    x = 11,526,638,553,249,856/49,563,160
  6. Step 6: Final answer
    x = 232,564,641.83

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Why These Related Problems?

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