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Finding the Third Proportional to 130,003,409,319 and 263,662,218,916.50

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Solution

The third proportional to 130,003,409,319 and 263,662,218,916.50 is: 534,738,019,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,003,409,319 : 263,662,218,916.50 = 263,662,218,916.50 : x
  2. Step 2: Convert to fraction form
    130,003,409,319/263,662,218,916.50 = 263,662,218,916.50/x
  3. Step 3: Cross multiply
    130,003,409,319x = 263,662,218,916.50 × 263,662,218,916.50
  4. Step 4: Simplify right side
    130,003,409,319x = 69,517,765,683,972,371,644,416
  5. Step 5: Solve for x
    x = 69,517,765,683,972,371,644,416/130,003,409,319
  6. Step 6: Final answer
    x = 534,738,019,934.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.