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Finding the Third Proportional to 123,547,050 and 186,586,733.25

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Solution

The third proportional to 123,547,050 and 186,586,733.25 is: 281,792,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,547,050 : 186,586,733.25 = 186,586,733.25 : x
  2. Step 2: Convert to fraction form
    123,547,050/186,586,733.25 = 186,586,733.25/x
  3. Step 3: Cross multiply
    123,547,050x = 186,586,733.25 × 186,586,733.25
  4. Step 4: Simplify right side
    123,547,050x = 34,814,609,024,906,656
  5. Step 5: Solve for x
    x = 34,814,609,024,906,656/123,547,050
  6. Step 6: Final answer
    x = 281,792,313.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.