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Finding the Third Proportional to 95,702,266 and 209,931,176

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Solution

The third proportional to 95,702,266 and 209,931,176 is: 460,502,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,702,266 : 209,931,176 = 209,931,176 : x
  2. Step 2: Convert to fraction form
    95,702,266/209,931,176 = 209,931,176/x
  3. Step 3: Cross multiply
    95,702,266x = 209,931,176 × 209,931,176
  4. Step 4: Simplify right side
    95,702,266x = 44,071,098,656,742,976
  5. Step 5: Solve for x
    x = 44,071,098,656,742,976/95,702,266
  6. Step 6: Final answer
    x = 460,502,143.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.