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Finding the Third Proportional to 115,533,646 and 179,470,729

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Solution

The third proportional to 115,533,646 and 179,470,729 is: 278,791,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,533,646 : 179,470,729 = 179,470,729 : x
  2. Step 2: Convert to fraction form
    115,533,646/179,470,729 = 179,470,729/x
  3. Step 3: Cross multiply
    115,533,646x = 179,470,729 × 179,470,729
  4. Step 4: Simplify right side
    115,533,646x = 32,209,742,567,791,440
  5. Step 5: Solve for x
    x = 32,209,742,567,791,440/115,533,646
  6. Step 6: Final answer
    x = 278,791,016.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.