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Finding the Third Proportional to 95,702,262 and 209,931,168

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Solution

The third proportional to 95,702,262 and 209,931,168 is: 460,502,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,702,262 : 209,931,168 = 209,931,168 : x
  2. Step 2: Convert to fraction form
    95,702,262/209,931,168 = 209,931,168/x
  3. Step 3: Cross multiply
    95,702,262x = 209,931,168 × 209,931,168
  4. Step 4: Simplify right side
    95,702,262x = 44,071,095,297,844,224
  5. Step 5: Solve for x
    x = 44,071,095,297,844,224/95,702,262
  6. Step 6: Final answer
    x = 460,502,127.92

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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.