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Finding the Third Proportional to 102,663,119,206 and 150,919,339,492.50

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Solution

The third proportional to 102,663,119,206 and 150,919,339,492.50 is: 221,858,124,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,663,119,206 : 150,919,339,492.50 = 150,919,339,492.50 : x
  2. Step 2: Convert to fraction form
    102,663,119,206/150,919,339,492.50 = 150,919,339,492.50/x
  3. Step 3: Cross multiply
    102,663,119,206x = 150,919,339,492.50 × 150,919,339,492.50
  4. Step 4: Simplify right side
    102,663,119,206x = 22,776,647,032,852,468,203,520
  5. Step 5: Solve for x
    x = 22,776,647,032,852,468,203,520/102,663,119,206
  6. Step 6: Final answer
    x = 221,858,124,017.74

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Why These Related Problems?

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