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Finding the Third Proportional to 175,630,479,034 and 236,966,753,295

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Solution

The third proportional to 175,630,479,034 and 236,966,753,295 is: 319,723,788,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,630,479,034 : 236,966,753,295 = 236,966,753,295 : x
  2. Step 2: Convert to fraction form
    175,630,479,034/236,966,753,295 = 236,966,753,295/x
  3. Step 3: Cross multiply
    175,630,479,034x = 236,966,753,295 × 236,966,753,295
  4. Step 4: Simplify right side
    175,630,479,034x = 56,153,242,167,173,391,056,896
  5. Step 5: Solve for x
    x = 56,153,242,167,173,391,056,896/175,630,479,034
  6. Step 6: Final answer
    x = 319,723,788,695.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.