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Finding the Third Proportional to 141,577,975,390 and 303,350,243,678

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Solution

The third proportional to 141,577,975,390 and 303,350,243,678 is: 649,969,531,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,577,975,390 : 303,350,243,678 = 303,350,243,678 : x
  2. Step 2: Convert to fraction form
    141,577,975,390/303,350,243,678 = 303,350,243,678/x
  3. Step 3: Cross multiply
    141,577,975,390x = 303,350,243,678 × 303,350,243,678
  4. Step 4: Simplify right side
    141,577,975,390x = 92,021,370,339,501,971,341,312
  5. Step 5: Solve for x
    x = 92,021,370,339,501,971,341,312/141,577,975,390
  6. Step 6: Final answer
    x = 649,969,531,532.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.