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Finding the Third Proportional to 47,046,284 and 101,910,203.50

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Solution

The third proportional to 47,046,284 and 101,910,203.50 is: 220,754,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,046,284 : 101,910,203.50 = 101,910,203.50 : x
  2. Step 2: Convert to fraction form
    47,046,284/101,910,203.50 = 101,910,203.50/x
  3. Step 3: Cross multiply
    47,046,284x = 101,910,203.50 × 101,910,203.50
  4. Step 4: Simplify right side
    47,046,284x = 10,385,689,577,411,412
  5. Step 5: Solve for x
    x = 10,385,689,577,411,412/47,046,284
  6. Step 6: Final answer
    x = 220,754,726.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.