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Finding the Third Proportional to 165,955,253,242 and 357,080,685,106

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Solution

The third proportional to 165,955,253,242 and 357,080,685,106 is: 768,319,249,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,955,253,242 : 357,080,685,106 = 357,080,685,106 : x
  2. Step 2: Convert to fraction form
    165,955,253,242/357,080,685,106 = 357,080,685,106/x
  3. Step 3: Cross multiply
    165,955,253,242x = 357,080,685,106 × 357,080,685,106
  4. Step 4: Simplify right side
    165,955,253,242x = 127,506,615,675,770,323,861,504
  5. Step 5: Solve for x
    x = 127,506,615,675,770,323,861,504/165,955,253,242
  6. Step 6: Final answer
    x = 768,319,249,827.16

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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.