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Finding the Third Proportional to 152,154,111 and 323,983,935

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Solution

The third proportional to 152,154,111 and 323,983,935 is: 689,863,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,154,111 : 323,983,935 = 323,983,935 : x
  2. Step 2: Convert to fraction form
    152,154,111/323,983,935 = 323,983,935/x
  3. Step 3: Cross multiply
    152,154,111x = 323,983,935 × 323,983,935
  4. Step 4: Simplify right side
    152,154,111x = 104,965,590,138,084,224
  5. Step 5: Solve for x
    x = 104,965,590,138,084,224/152,154,111
  6. Step 6: Final answer
    x = 689,863,648.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.