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Finding the Third Proportional to 121,429,710 and 186,530,886

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Solution

The third proportional to 121,429,710 and 186,530,886 is: 286,534,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,429,710 : 186,530,886 = 186,530,886 : x
  2. Step 2: Convert to fraction form
    121,429,710/186,530,886 = 186,530,886/x
  3. Step 3: Cross multiply
    121,429,710x = 186,530,886 × 186,530,886
  4. Step 4: Simplify right side
    121,429,710x = 34,793,771,431,944,996
  5. Step 5: Solve for x
    x = 34,793,771,431,944,996/121,429,710
  6. Step 6: Final answer
    x = 286,534,254.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.