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Finding the Third Proportional to 219,316,434.75 and 481,673,301.75

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Solution

The third proportional to 219,316,434.75 and 481,673,301.75 is: 1,057,874,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,316,434.75 : 481,673,301.75 = 481,673,301.75 : x
  2. Step 2: Convert to fraction form
    219,316,434.75/481,673,301.75 = 481,673,301.75/x
  3. Step 3: Cross multiply
    219,316,434.75x = 481,673,301.75 × 481,673,301.75
  4. Step 4: Simplify right side
    219,316,434.75x = 232,009,169,618,746,560
  5. Step 5: Solve for x
    x = 232,009,169,618,746,560/219,316,434.75
  6. Step 6: Final answer
    x = 1,057,874,070.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.