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Finding the Third Proportional to 123,547,086 and 186,586,783.88

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Solution

The third proportional to 123,547,086 and 186,586,783.88 is: 281,792,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,547,086 : 186,586,783.88 = 186,586,783.88 : x
  2. Step 2: Convert to fraction form
    123,547,086/186,586,783.88 = 186,586,783.88/x
  3. Step 3: Cross multiply
    123,547,086x = 186,586,783.88 × 186,586,783.88
  4. Step 4: Simplify right side
    123,547,086x = 34,814,627,916,815,960
  5. Step 5: Solve for x
    x = 34,814,627,916,815,960/123,547,086
  6. Step 6: Final answer
    x = 281,792,384.13

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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.