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Finding the Third Proportional to 175,703,464,854 and 247,429,196,068.50

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Solution

The third proportional to 175,703,464,854 and 247,429,196,068.50 is: 348,434,830,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,703,464,854 : 247,429,196,068.50 = 247,429,196,068.50 : x
  2. Step 2: Convert to fraction form
    175,703,464,854/247,429,196,068.50 = 247,429,196,068.50/x
  3. Step 3: Cross multiply
    175,703,464,854x = 247,429,196,068.50 × 247,429,196,068.50
  4. Step 4: Simplify right side
    175,703,464,854x = 61,221,207,067,104,217,399,296
  5. Step 5: Solve for x
    x = 61,221,207,067,104,217,399,296/175,703,464,854
  6. Step 6: Final answer
    x = 348,434,830,912.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.