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Finding the Third Proportional to 99,470,612.25 and 214,057,773

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Solution

The third proportional to 99,470,612.25 and 214,057,773 is: 460,645,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470,612.25 : 214,057,773 = 214,057,773 : x
  2. Step 2: Convert to fraction form
    99,470,612.25/214,057,773 = 214,057,773/x
  3. Step 3: Cross multiply
    99,470,612.25x = 214,057,773 × 214,057,773
  4. Step 4: Simplify right side
    99,470,612.25x = 45,820,730,181,719,528
  5. Step 5: Solve for x
    x = 45,820,730,181,719,528/99,470,612.25
  6. Step 6: Final answer
    x = 460,645,904.81

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Why These Related Problems?

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