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Finding the Third Proportional to 164,648,613.94 and 357,993,948.38

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Solution

The third proportional to 164,648,613.94 and 357,993,948.38 is: 778,382,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,648,613.94 : 357,993,948.38 = 357,993,948.38 : x
  2. Step 2: Convert to fraction form
    164,648,613.94/357,993,948.38 = 357,993,948.38/x
  3. Step 3: Cross multiply
    164,648,613.94x = 357,993,948.38 × 357,993,948.38
  4. Step 4: Simplify right side
    164,648,613.94x = 128,159,667,073,122,160
  5. Step 5: Solve for x
    x = 128,159,667,073,122,160/164,648,613.94
  6. Step 6: Final answer
    x = 778,382,908.96

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