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Finding the Third Proportional to 219,038,276 and 327,875,070

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Solution

The third proportional to 219,038,276 and 327,875,070 is: 490,791,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,038,276 : 327,875,070 = 327,875,070 : x
  2. Step 2: Convert to fraction form
    219,038,276/327,875,070 = 327,875,070/x
  3. Step 3: Cross multiply
    219,038,276x = 327,875,070 × 327,875,070
  4. Step 4: Simplify right side
    219,038,276x = 107,502,061,527,504,896
  5. Step 5: Solve for x
    x = 107,502,061,527,504,896/219,038,276
  6. Step 6: Final answer
    x = 490,791,214.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.