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Finding the Third Proportional to 83,009,994.75 and 118,249,510.50

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Solution

The third proportional to 83,009,994.75 and 118,249,510.50 is: 168,448,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009,994.75 : 118,249,510.50 = 118,249,510.50 : x
  2. Step 2: Convert to fraction form
    83,009,994.75/118,249,510.50 = 118,249,510.50/x
  3. Step 3: Cross multiply
    83,009,994.75x = 118,249,510.50 × 118,249,510.50
  4. Step 4: Simplify right side
    83,009,994.75x = 13,982,946,733,489,610
  5. Step 5: Solve for x
    x = 13,982,946,733,489,610/83,009,994.75
  6. Step 6: Final answer
    x = 168,448,953.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.