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Finding the Third Proportional to 114,661,911 and 249,478,134

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Solution

The third proportional to 114,661,911 and 249,478,134 is: 542,807,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,661,911 : 249,478,134 = 249,478,134 : x
  2. Step 2: Convert to fraction form
    114,661,911/249,478,134 = 249,478,134/x
  3. Step 3: Cross multiply
    114,661,911x = 249,478,134 × 249,478,134
  4. Step 4: Simplify right side
    114,661,911x = 62,239,339,344,121,952
  5. Step 5: Solve for x
    x = 62,239,339,344,121,952/114,661,911
  6. Step 6: Final answer
    x = 542,807,448.45

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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.