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Finding the Third Proportional to 194,371,335,666 and 302,921,005,311

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Solution

The third proportional to 194,371,335,666 and 302,921,005,311 is: 472,091,911,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,371,335,666 : 302,921,005,311 = 302,921,005,311 : x
  2. Step 2: Convert to fraction form
    194,371,335,666/302,921,005,311 = 302,921,005,311/x
  3. Step 3: Cross multiply
    194,371,335,666x = 302,921,005,311 × 302,921,005,311
  4. Step 4: Simplify right side
    194,371,335,666x = 91,761,135,458,626,895,347,712
  5. Step 5: Solve for x
    x = 91,761,135,458,626,895,347,712/194,371,335,666
  6. Step 6: Final answer
    x = 472,091,911,825.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.