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Finding the Third Proportional to 53,762,955 and 117,976,852.50

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Solution

The third proportional to 53,762,955 and 117,976,852.50 is: 258,887,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,762,955 : 117,976,852.50 = 117,976,852.50 : x
  2. Step 2: Convert to fraction form
    53,762,955/117,976,852.50 = 117,976,852.50/x
  3. Step 3: Cross multiply
    53,762,955x = 117,976,852.50 × 117,976,852.50
  4. Step 4: Simplify right side
    53,762,955x = 13,918,537,725,806,756
  5. Step 5: Solve for x
    x = 13,918,537,725,806,756/53,762,955
  6. Step 6: Final answer
    x = 258,887,141.26

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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.