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Finding the Third Proportional to 147,102,374,758 and 210,356,646,413

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Solution

The third proportional to 147,102,374,758 and 210,356,646,413 is: 300,810,362,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,102,374,758 : 210,356,646,413 = 210,356,646,413 : x
  2. Step 2: Convert to fraction form
    147,102,374,758/210,356,646,413 = 210,356,646,413/x
  3. Step 3: Cross multiply
    147,102,374,758x = 210,356,646,413 × 210,356,646,413
  4. Step 4: Simplify right side
    147,102,374,758x = 44,249,918,690,123,908,644,864
  5. Step 5: Solve for x
    x = 44,249,918,690,123,908,644,864/147,102,374,758
  6. Step 6: Final answer
    x = 300,810,362,598.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.