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Finding the Third Proportional to 142,862,492 and 310,079,416

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Solution

The third proportional to 142,862,492 and 310,079,416 is: 673,019,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,862,492 : 310,079,416 = 310,079,416 : x
  2. Step 2: Convert to fraction form
    142,862,492/310,079,416 = 310,079,416/x
  3. Step 3: Cross multiply
    142,862,492x = 310,079,416 × 310,079,416
  4. Step 4: Simplify right side
    142,862,492x = 96,149,244,226,901,056
  5. Step 5: Solve for x
    x = 96,149,244,226,901,056/142,862,492
  6. Step 6: Final answer
    x = 673,019,509.05

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Why These Related Problems?

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