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Finding the Third Proportional to 65,531,664 and 145,608,224

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Solution

The third proportional to 65,531,664 and 145,608,224 is: 323,534,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,531,664 : 145,608,224 = 145,608,224 : x
  2. Step 2: Convert to fraction form
    65,531,664/145,608,224 = 145,608,224/x
  3. Step 3: Cross multiply
    65,531,664x = 145,608,224 × 145,608,224
  4. Step 4: Simplify right side
    65,531,664x = 21,201,754,896,434,176
  5. Step 5: Solve for x
    x = 21,201,754,896,434,176/65,531,664
  6. Step 6: Final answer
    x = 323,534,511.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.