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Finding the Third Proportional to 175,098,134,816 and 355,068,580,984

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Solution

The third proportional to 175,098,134,816 and 355,068,580,984 is: 720,017,362,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,098,134,816 : 355,068,580,984 = 355,068,580,984 : x
  2. Step 2: Convert to fraction form
    175,098,134,816/355,068,580,984 = 355,068,580,984/x
  3. Step 3: Cross multiply
    175,098,134,816x = 355,068,580,984 × 355,068,580,984
  4. Step 4: Simplify right side
    175,098,134,816x = 126,073,697,201,991,360,446,464
  5. Step 5: Solve for x
    x = 126,073,697,201,991,360,446,464/175,098,134,816
  6. Step 6: Final answer
    x = 720,017,362,460.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.