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Finding the Third Proportional to 102,423,907.69 and 153,639,139.50

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Solution

The third proportional to 102,423,907.69 and 153,639,139.50 is: 230,463,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,423,907.69 : 153,639,139.50 = 153,639,139.50 : x
  2. Step 2: Convert to fraction form
    102,423,907.69/153,639,139.50 = 153,639,139.50/x
  3. Step 3: Cross multiply
    102,423,907.69x = 153,639,139.50 × 153,639,139.50
  4. Step 4: Simplify right side
    102,423,907.69x = 23,604,985,186,300,460
  5. Step 5: Solve for x
    x = 23,604,985,186,300,460/102,423,907.69
  6. Step 6: Final answer
    x = 230,463,626.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.