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Finding the Third Proportional to 165,502,352.67 and 351,178,703.93

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Solution

The third proportional to 165,502,352.67 and 351,178,703.93 is: 745,164,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,502,352.67 : 351,178,703.93 = 351,178,703.93 : x
  2. Step 2: Convert to fraction form
    165,502,352.67/351,178,703.93 = 351,178,703.93/x
  3. Step 3: Cross multiply
    165,502,352.67x = 351,178,703.93 × 351,178,703.93
  4. Step 4: Simplify right side
    165,502,352.67x = 123,326,482,093,736,864
  5. Step 5: Solve for x
    x = 123,326,482,093,736,864/165,502,352.67
  6. Step 6: Final answer
    x = 745,164,525.47

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.