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Finding the Third Proportional to 96,044,915 and 210,303,166

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Solution

The third proportional to 96,044,915 and 210,303,166 is: 460,486,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,044,915 : 210,303,166 = 210,303,166 : x
  2. Step 2: Convert to fraction form
    96,044,915/210,303,166 = 210,303,166/x
  3. Step 3: Cross multiply
    96,044,915x = 210,303,166 × 210,303,166
  4. Step 4: Simplify right side
    96,044,915x = 44,227,421,629,623,552
  5. Step 5: Solve for x
    x = 44,227,421,629,623,552/96,044,915
  6. Step 6: Final answer
    x = 460,486,863.15

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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.