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Finding the Third Proportional to 145,220,801,218 and 310,841,673,289.75

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Solution

The third proportional to 145,220,801,218 and 310,841,673,289.75 is: 665,349,213,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,220,801,218 : 310,841,673,289.75 = 310,841,673,289.75 : x
  2. Step 2: Convert to fraction form
    145,220,801,218/310,841,673,289.75 = 310,841,673,289.75/x
  3. Step 3: Cross multiply
    145,220,801,218x = 310,841,673,289.75 × 310,841,673,289.75
  4. Step 4: Simplify right side
    145,220,801,218x = 96,622,545,853,571,674,406,912
  5. Step 5: Solve for x
    x = 96,622,545,853,571,674,406,912/145,220,801,218
  6. Step 6: Final answer
    x = 665,349,213,357.70

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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.