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Finding the Third Proportional to 219,919,356 and 322,689,612

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Solution

The third proportional to 219,919,356 and 322,689,612 is: 473,485,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,919,356 : 322,689,612 = 322,689,612 : x
  2. Step 2: Convert to fraction form
    219,919,356/322,689,612 = 322,689,612/x
  3. Step 3: Cross multiply
    219,919,356x = 322,689,612 × 322,689,612
  4. Step 4: Simplify right side
    219,919,356x = 104,128,585,692,710,544
  5. Step 5: Solve for x
    x = 104,128,585,692,710,544/219,919,356
  6. Step 6: Final answer
    x = 473,485,315.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.