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Finding the Third Proportional to 103,663,793,574 and 154,816,390,638

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Solution

The third proportional to 103,663,793,574 and 154,816,390,638 is: 231,210,087,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,793,574 : 154,816,390,638 = 154,816,390,638 : x
  2. Step 2: Convert to fraction form
    103,663,793,574/154,816,390,638 = 154,816,390,638/x
  3. Step 3: Cross multiply
    103,663,793,574x = 154,816,390,638 × 154,816,390,638
  4. Step 4: Simplify right side
    103,663,793,574x = 23,968,114,810,177,814,790,144
  5. Step 5: Solve for x
    x = 23,968,114,810,177,814,790,144/103,663,793,574
  6. Step 6: Final answer
    x = 231,210,087,763.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.