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Finding the Third Proportional to 137,085,924 and 296,742,984

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Solution

The third proportional to 137,085,924 and 296,742,984 is: 642,344,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,085,924 : 296,742,984 = 296,742,984 : x
  2. Step 2: Convert to fraction form
    137,085,924/296,742,984 = 296,742,984/x
  3. Step 3: Cross multiply
    137,085,924x = 296,742,984 × 296,742,984
  4. Step 4: Simplify right side
    137,085,924x = 88,056,398,553,224,256
  5. Step 5: Solve for x
    x = 88,056,398,553,224,256/137,085,924
  6. Step 6: Final answer
    x = 642,344,567.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.