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Finding the Third Proportional to 115,558,586,196 and 234,366,416,840

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Solution

The third proportional to 115,558,586,196 and 234,366,416,840 is: 475,322,683,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,558,586,196 : 234,366,416,840 = 234,366,416,840 : x
  2. Step 2: Convert to fraction form
    115,558,586,196/234,366,416,840 = 234,366,416,840/x
  3. Step 3: Cross multiply
    115,558,586,196x = 234,366,416,840 × 234,366,416,840
  4. Step 4: Simplify right side
    115,558,586,196x = 54,927,617,342,420,633,518,080
  5. Step 5: Solve for x
    x = 54,927,617,342,420,633,518,080/115,558,586,196
  6. Step 6: Final answer
    x = 475,322,683,935.03

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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.