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Finding the Third Proportional to 130,166,036 and 285,339,688

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Solution

The third proportional to 130,166,036 and 285,339,688 is: 625,499,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,166,036 : 285,339,688 = 285,339,688 : x
  2. Step 2: Convert to fraction form
    130,166,036/285,339,688 = 285,339,688/x
  3. Step 3: Cross multiply
    130,166,036x = 285,339,688 × 285,339,688
  4. Step 4: Simplify right side
    130,166,036x = 81,418,737,547,937,344
  5. Step 5: Solve for x
    x = 81,418,737,547,937,344/130,166,036
  6. Step 6: Final answer
    x = 625,499,093.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.