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Finding the Third Proportional to 78,230,569.50 and 170,081,329.50

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Solution

The third proportional to 78,230,569.50 and 170,081,329.50 is: 369,774,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230,569.50 : 170,081,329.50 = 170,081,329.50 : x
  2. Step 2: Convert to fraction form
    78,230,569.50/170,081,329.50 = 170,081,329.50/x
  3. Step 3: Cross multiply
    78,230,569.50x = 170,081,329.50 × 170,081,329.50
  4. Step 4: Simplify right side
    78,230,569.50x = 28,927,658,644,487,572
  5. Step 5: Solve for x
    x = 28,927,658,644,487,572/78,230,569.50
  6. Step 6: Final answer
    x = 369,774,358.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.