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Finding the Third Proportional to 147,816,408,897 and 303,468,996,258

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Solution

The third proportional to 147,816,408,897 and 303,468,996,258 is: 623,025,768,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,816,408,897 : 303,468,996,258 = 303,468,996,258 : x
  2. Step 2: Convert to fraction form
    147,816,408,897/303,468,996,258 = 303,468,996,258/x
  3. Step 3: Cross multiply
    147,816,408,897x = 303,468,996,258 × 303,468,996,258
  4. Step 4: Simplify right side
    147,816,408,897x = 92,093,431,689,838,017,380,352
  5. Step 5: Solve for x
    x = 92,093,431,689,838,017,380,352/147,816,408,897
  6. Step 6: Final answer
    x = 623,025,768,093.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.