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Finding the Third Proportional to 202,091,243,736 and 434,833,356,316

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Solution

The third proportional to 202,091,243,736 and 434,833,356,316 is: 935,617,220,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,091,243,736 : 434,833,356,316 = 434,833,356,316 : x
  2. Step 2: Convert to fraction form
    202,091,243,736/434,833,356,316 = 434,833,356,316/x
  3. Step 3: Cross multiply
    202,091,243,736x = 434,833,356,316 × 434,833,356,316
  4. Step 4: Simplify right side
    202,091,243,736x = 189,080,047,765,037,428,768,768
  5. Step 5: Solve for x
    x = 189,080,047,765,037,428,768,768/202,091,243,736
  6. Step 6: Final answer
    x = 935,617,220,566.17

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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.