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Finding the Third Proportional to 142,862,196 and 310,078,816

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Solution

The third proportional to 142,862,196 and 310,078,816 is: 673,018,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,862,196 : 310,078,816 = 310,078,816 : x
  2. Step 2: Convert to fraction form
    142,862,196/310,078,816 = 310,078,816/x
  3. Step 3: Cross multiply
    142,862,196x = 310,078,816 × 310,078,816
  4. Step 4: Simplify right side
    142,862,196x = 96,148,872,131,961,856
  5. Step 5: Solve for x
    x = 96,148,872,131,961,856/142,862,196
  6. Step 6: Final answer
    x = 673,018,298.92

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