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Finding the Third Proportional to 141,935,139,615 and 305,397,364,070

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Solution

The third proportional to 141,935,139,615 and 305,397,364,070 is: 657,113,877,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,935,139,615 : 305,397,364,070 = 305,397,364,070 : x
  2. Step 2: Convert to fraction form
    141,935,139,615/305,397,364,070 = 305,397,364,070/x
  3. Step 3: Cross multiply
    141,935,139,615x = 305,397,364,070 × 305,397,364,070
  4. Step 4: Simplify right side
    141,935,139,615x = 93,267,549,980,904,124,317,696
  5. Step 5: Solve for x
    x = 93,267,549,980,904,124,317,696/141,935,139,615
  6. Step 6: Final answer
    x = 657,113,877,746.50

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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.