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Finding the Third Proportional to 164,648,590.50 and 357,993,901.50

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Solution

The third proportional to 164,648,590.50 and 357,993,901.50 is: 778,382,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,648,590.50 : 357,993,901.50 = 357,993,901.50 : x
  2. Step 2: Convert to fraction form
    164,648,590.50/357,993,901.50 = 357,993,901.50/x
  3. Step 3: Cross multiply
    164,648,590.50x = 357,993,901.50 × 357,993,901.50
  4. Step 4: Simplify right side
    164,648,590.50x = 128,159,633,511,191,696
  5. Step 5: Solve for x
    x = 128,159,633,511,191,696/164,648,590.50
  6. Step 6: Final answer
    x = 778,382,815.92

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