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Finding the Third Proportional to 203,896,885,076 and 319,854,042,284

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Solution

The third proportional to 203,896,885,076 and 319,854,042,284 is: 501,756,602,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,896,885,076 : 319,854,042,284 = 319,854,042,284 : x
  2. Step 2: Convert to fraction form
    203,896,885,076/319,854,042,284 = 319,854,042,284/x
  3. Step 3: Cross multiply
    203,896,885,076x = 319,854,042,284 × 319,854,042,284
  4. Step 4: Simplify right side
    203,896,885,076x = 102,306,608,365,414,865,960,960
  5. Step 5: Solve for x
    x = 102,306,608,365,414,865,960,960/203,896,885,076
  6. Step 6: Final answer
    x = 501,756,602,742.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.