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Finding the Third Proportional to 119,030,891,806.50 and 256,997,011,701

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Solution

The third proportional to 119,030,891,806.50 and 256,997,011,701 is: 554,876,662,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,030,891,806.50 : 256,997,011,701 = 256,997,011,701 : x
  2. Step 2: Convert to fraction form
    119,030,891,806.50/256,997,011,701 = 256,997,011,701/x
  3. Step 3: Cross multiply
    119,030,891,806.50x = 256,997,011,701 × 256,997,011,701
  4. Step 4: Simplify right side
    119,030,891,806.50x = 66,047,464,023,243,928,633,344
  5. Step 5: Solve for x
    x = 66,047,464,023,243,928,633,344/119,030,891,806.50
  6. Step 6: Final answer
    x = 554,876,662,863.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.