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Finding the Third Proportional to 164,746,735.50 and 249,245,866.50

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Solution

The third proportional to 164,746,735.50 and 249,245,866.50 is: 377,084,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,746,735.50 : 249,245,866.50 = 249,245,866.50 : x
  2. Step 2: Convert to fraction form
    164,746,735.50/249,245,866.50 = 249,245,866.50/x
  3. Step 3: Cross multiply
    164,746,735.50x = 249,245,866.50 × 249,245,866.50
  4. Step 4: Simplify right side
    164,746,735.50x = 62,123,501,967,335,824
  5. Step 5: Solve for x
    x = 62,123,501,967,335,824/164,746,735.50
  6. Step 6: Final answer
    x = 377,084,873.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.