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Finding the Third Proportional to 52,339,772 and 114,197,095

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Solution

The third proportional to 52,339,772 and 114,197,095 is: 249,159,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339,772 : 114,197,095 = 114,197,095 : x
  2. Step 2: Convert to fraction form
    52,339,772/114,197,095 = 114,197,095/x
  3. Step 3: Cross multiply
    52,339,772x = 114,197,095 × 114,197,095
  4. Step 4: Simplify right side
    52,339,772x = 13,040,976,506,439,024
  5. Step 5: Solve for x
    x = 13,040,976,506,439,024/52,339,772
  6. Step 6: Final answer
    x = 249,159,979.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.