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Finding the Third Proportional to 232,603,140 and 507,456,168

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Solution

The third proportional to 232,603,140 and 507,456,168 is: 1,107,086,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,603,140 : 507,456,168 = 507,456,168 : x
  2. Step 2: Convert to fraction form
    232,603,140/507,456,168 = 507,456,168/x
  3. Step 3: Cross multiply
    232,603,140x = 507,456,168 × 507,456,168
  4. Step 4: Simplify right side
    232,603,140x = 257,511,762,441,244,224
  5. Step 5: Solve for x
    x = 257,511,762,441,244,224/232,603,140
  6. Step 6: Final answer
    x = 1,107,086,355.07

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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.