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Finding the Third Proportional to 132,423,116 and 206,681,023

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Solution

The third proportional to 132,423,116 and 206,681,023 is: 322,579,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,423,116 : 206,681,023 = 206,681,023 : x
  2. Step 2: Convert to fraction form
    132,423,116/206,681,023 = 206,681,023/x
  3. Step 3: Cross multiply
    132,423,116x = 206,681,023 × 206,681,023
  4. Step 4: Simplify right side
    132,423,116x = 42,717,045,268,326,528
  5. Step 5: Solve for x
    x = 42,717,045,268,326,528/132,423,116
  6. Step 6: Final answer
    x = 322,579,973.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.