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Finding the Third Proportional to 199,175,056,038 and 305,957,248,609.50

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Solution

The third proportional to 199,175,056,038 and 305,957,248,609.50 is: 469,987,757,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,175,056,038 : 305,957,248,609.50 = 305,957,248,609.50 : x
  2. Step 2: Convert to fraction form
    199,175,056,038/305,957,248,609.50 = 305,957,248,609.50/x
  3. Step 3: Cross multiply
    199,175,056,038x = 305,957,248,609.50 × 305,957,248,609.50
  4. Step 4: Simplify right side
    199,175,056,038x = 93,609,837,976,695,393,484,800
  5. Step 5: Solve for x
    x = 93,609,837,976,695,393,484,800/199,175,056,038
  6. Step 6: Final answer
    x = 469,987,757,698.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.