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Finding the Third Proportional to 107,586,929,688 and 235,440,878,584

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Solution

The third proportional to 107,586,929,688 and 235,440,878,584 is: 515,233,657,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,586,929,688 : 235,440,878,584 = 235,440,878,584 : x
  2. Step 2: Convert to fraction form
    107,586,929,688/235,440,878,584 = 235,440,878,584/x
  3. Step 3: Cross multiply
    107,586,929,688x = 235,440,878,584 × 235,440,878,584
  4. Step 4: Simplify right side
    107,586,929,688x = 55,432,407,308,405,827,436,544
  5. Step 5: Solve for x
    x = 55,432,407,308,405,827,436,544/107,586,929,688
  6. Step 6: Final answer
    x = 515,233,657,742.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.