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Finding the Third Proportional to 105,790,248 and 160,282,152

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Solution

The third proportional to 105,790,248 and 160,282,152 is: 242,842,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,790,248 : 160,282,152 = 160,282,152 : x
  2. Step 2: Convert to fraction form
    105,790,248/160,282,152 = 160,282,152/x
  3. Step 3: Cross multiply
    105,790,248x = 160,282,152 × 160,282,152
  4. Step 4: Simplify right side
    105,790,248x = 25,690,368,249,751,104
  5. Step 5: Solve for x
    x = 25,690,368,249,751,104/105,790,248
  6. Step 6: Final answer
    x = 242,842,499.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.