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Finding the Third Proportional to 72,684,864 and 160,118,208

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Solution

The third proportional to 72,684,864 and 160,118,208 is: 352,725,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,684,864 : 160,118,208 = 160,118,208 : x
  2. Step 2: Convert to fraction form
    72,684,864/160,118,208 = 160,118,208/x
  3. Step 3: Cross multiply
    72,684,864x = 160,118,208 × 160,118,208
  4. Step 4: Simplify right side
    72,684,864x = 25,637,840,533,131,264
  5. Step 5: Solve for x
    x = 25,637,840,533,131,264/72,684,864
  6. Step 6: Final answer
    x = 352,725,988.91

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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.