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Finding the Third Proportional to 143,943,266,778 and 316,674,683,445

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Solution

The third proportional to 143,943,266,778 and 316,674,683,445 is: 696,683,195,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,943,266,778 : 316,674,683,445 = 316,674,683,445 : x
  2. Step 2: Convert to fraction form
    143,943,266,778/316,674,683,445 = 316,674,683,445/x
  3. Step 3: Cross multiply
    143,943,266,778x = 316,674,683,445 × 316,674,683,445
  4. Step 4: Simplify right side
    143,943,266,778x = 100,282,855,134,990,962,786,304
  5. Step 5: Solve for x
    x = 100,282,855,134,990,962,786,304/143,943,266,778
  6. Step 6: Final answer
    x = 696,683,195,954.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.