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Finding the Third Proportional to 115,244,653,160 and 249,727,141,072

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Solution

The third proportional to 115,244,653,160 and 249,727,141,072 is: 541,141,330,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,244,653,160 : 249,727,141,072 = 249,727,141,072 : x
  2. Step 2: Convert to fraction form
    115,244,653,160/249,727,141,072 = 249,727,141,072/x
  3. Step 3: Cross multiply
    115,244,653,160x = 249,727,141,072 × 249,727,141,072
  4. Step 4: Simplify right side
    115,244,653,160x = 62,363,644,987,994,590,412,800
  5. Step 5: Solve for x
    x = 62,363,644,987,994,590,412,800/115,244,653,160
  6. Step 6: Final answer
    x = 541,141,330,881.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.