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Finding the Third Proportional to 186,871,438.13 and 408,913,653.38

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Solution

The third proportional to 186,871,438.13 and 408,913,653.38 is: 894,788,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,871,438.13 : 408,913,653.38 = 408,913,653.38 : x
  2. Step 2: Convert to fraction form
    186,871,438.13/408,913,653.38 = 408,913,653.38/x
  3. Step 3: Cross multiply
    186,871,438.13x = 408,913,653.38 × 408,913,653.38
  4. Step 4: Simplify right side
    186,871,438.13x = 167,210,375,916,489,664
  5. Step 5: Solve for x
    x = 167,210,375,916,489,664/186,871,438.13
  6. Step 6: Final answer
    x = 894,788,297.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.