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Finding the Third Proportional to 88,386,433,560 and 189,380,064,816

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Solution

The third proportional to 88,386,433,560 and 189,380,064,816 is: 405,772,781,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,386,433,560 : 189,380,064,816 = 189,380,064,816 : x
  2. Step 2: Convert to fraction form
    88,386,433,560/189,380,064,816 = 189,380,064,816/x
  3. Step 3: Cross multiply
    88,386,433,560x = 189,380,064,816 × 189,380,064,816
  4. Step 4: Simplify right side
    88,386,433,560x = 35,864,808,949,712,360,046,592
  5. Step 5: Solve for x
    x = 35,864,808,949,712,360,046,592/88,386,433,560
  6. Step 6: Final answer
    x = 405,772,781,015.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.