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Finding the Third Proportional to 165,633,972 and 358,872,072

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Solution

The third proportional to 165,633,972 and 358,872,072 is: 777,552,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,633,972 : 358,872,072 = 358,872,072 : x
  2. Step 2: Convert to fraction form
    165,633,972/358,872,072 = 358,872,072/x
  3. Step 3: Cross multiply
    165,633,972x = 358,872,072 × 358,872,072
  4. Step 4: Simplify right side
    165,633,972x = 128,789,164,061,573,184
  5. Step 5: Solve for x
    x = 128,789,164,061,573,184/165,633,972
  6. Step 6: Final answer
    x = 777,552,832.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.