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Finding the Third Proportional to 97,593,206 and 130,109,766

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Solution

The third proportional to 97,593,206 and 130,109,766 is: 173,460,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,593,206 : 130,109,766 = 130,109,766 : x
  2. Step 2: Convert to fraction form
    97,593,206/130,109,766 = 130,109,766/x
  3. Step 3: Cross multiply
    97,593,206x = 130,109,766 × 130,109,766
  4. Step 4: Simplify right side
    97,593,206x = 16,928,551,208,574,756
  5. Step 5: Solve for x
    x = 16,928,551,208,574,756/97,593,206
  6. Step 6: Final answer
    x = 173,460,345.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.