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Finding the Third Proportional to 202,091,243,738 and 434,833,356,320

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Solution

The third proportional to 202,091,243,738 and 434,833,356,320 is: 935,617,220,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,091,243,738 : 434,833,356,320 = 434,833,356,320 : x
  2. Step 2: Convert to fraction form
    202,091,243,738/434,833,356,320 = 434,833,356,320/x
  3. Step 3: Cross multiply
    202,091,243,738x = 434,833,356,320 × 434,833,356,320
  4. Step 4: Simplify right side
    202,091,243,738x = 189,080,047,768,516,083,843,072
  5. Step 5: Solve for x
    x = 189,080,047,768,516,083,843,072/202,091,243,738
  6. Step 6: Final answer
    x = 935,617,220,574.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.