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Finding the Third Proportional to 215,913,726.75 and 470,163,133.50

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Solution

The third proportional to 215,913,726.75 and 470,163,133.50 is: 1,023,804,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,913,726.75 : 470,163,133.50 = 470,163,133.50 : x
  2. Step 2: Convert to fraction form
    215,913,726.75/470,163,133.50 = 470,163,133.50/x
  3. Step 3: Cross multiply
    215,913,726.75x = 470,163,133.50 × 470,163,133.50
  4. Step 4: Simplify right side
    215,913,726.75x = 221,053,372,102,538,816
  5. Step 5: Solve for x
    x = 221,053,372,102,538,816/215,913,726.75
  6. Step 6: Final answer
    x = 1,023,804,162.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.