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Finding the Third Proportional to 130,757,666,450 and 186,983,685,699

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Solution

The third proportional to 130,757,666,450 and 186,983,685,699 is: 267,386,988,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,757,666,450 : 186,983,685,699 = 186,983,685,699 : x
  2. Step 2: Convert to fraction form
    130,757,666,450/186,983,685,699 = 186,983,685,699/x
  3. Step 3: Cross multiply
    130,757,666,450x = 186,983,685,699 × 186,983,685,699
  4. Step 4: Simplify right side
    130,757,666,450x = 34,962,898,717,582,418,771,968
  5. Step 5: Solve for x
    x = 34,962,898,717,582,418,771,968/130,757,666,450
  6. Step 6: Final answer
    x = 267,386,988,975.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.