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Finding the Third Proportional to 215,371,908 and 470,214,792

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Solution

The third proportional to 215,371,908 and 470,214,792 is: 1,026,605,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,371,908 : 470,214,792 = 470,214,792 : x
  2. Step 2: Convert to fraction form
    215,371,908/470,214,792 = 470,214,792/x
  3. Step 3: Cross multiply
    215,371,908x = 470,214,792 × 470,214,792
  4. Step 4: Simplify right side
    215,371,908x = 221,101,950,615,603,264
  5. Step 5: Solve for x
    x = 221,101,950,615,603,264/215,371,908
  6. Step 6: Final answer
    x = 1,026,605,338.96

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Why These Related Problems?

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