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Finding the Third Proportional to 99,470,613.75 and 214,057,776

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Solution

The third proportional to 99,470,613.75 and 214,057,776 is: 460,645,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470,613.75 : 214,057,776 = 214,057,776 : x
  2. Step 2: Convert to fraction form
    99,470,613.75/214,057,776 = 214,057,776/x
  3. Step 3: Cross multiply
    99,470,613.75x = 214,057,776 × 214,057,776
  4. Step 4: Simplify right side
    99,470,613.75x = 45,820,731,466,066,176
  5. Step 5: Solve for x
    x = 45,820,731,466,066,176/99,470,613.75
  6. Step 6: Final answer
    x = 460,645,910.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.