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Finding the Third Proportional to 105,739,320 and 161,648,154

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Solution

The third proportional to 105,739,320 and 161,648,154 is: 247,118,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,739,320 : 161,648,154 = 161,648,154 : x
  2. Step 2: Convert to fraction form
    105,739,320/161,648,154 = 161,648,154/x
  3. Step 3: Cross multiply
    105,739,320x = 161,648,154 × 161,648,154
  4. Step 4: Simplify right side
    105,739,320x = 26,130,125,691,607,716
  5. Step 5: Solve for x
    x = 26,130,125,691,607,716/105,739,320
  6. Step 6: Final answer
    x = 247,118,344.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.