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Finding the Third Proportional to 101,218,316,384 and 210,814,413,032

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Solution

The third proportional to 101,218,316,384 and 210,814,413,032 is: 439,077,810,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,218,316,384 : 210,814,413,032 = 210,814,413,032 : x
  2. Step 2: Convert to fraction form
    101,218,316,384/210,814,413,032 = 210,814,413,032/x
  3. Step 3: Cross multiply
    101,218,316,384x = 210,814,413,032 × 210,814,413,032
  4. Step 4: Simplify right side
    101,218,316,384x = 44,442,716,742,026,688,200,704
  5. Step 5: Solve for x
    x = 44,442,716,742,026,688,200,704/101,218,316,384
  6. Step 6: Final answer
    x = 439,077,810,516.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.