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Finding the Third Proportional to 230,868,616 and 507,910,148

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Solution

The third proportional to 230,868,616 and 507,910,148 is: 1,117,400,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,868,616 : 507,910,148 = 507,910,148 : x
  2. Step 2: Convert to fraction form
    230,868,616/507,910,148 = 507,910,148/x
  3. Step 3: Cross multiply
    230,868,616x = 507,910,148 × 507,910,148
  4. Step 4: Simplify right side
    230,868,616x = 257,972,718,441,381,888
  5. Step 5: Solve for x
    x = 257,972,718,441,381,888/230,868,616
  6. Step 6: Final answer
    x = 1,117,400,549.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.