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Finding the Third Proportional to 164,792,064 and 249,308,672

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Solution

The third proportional to 164,792,064 and 249,308,672 is: 377,171,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,792,064 : 249,308,672 = 249,308,672 : x
  2. Step 2: Convert to fraction form
    164,792,064/249,308,672 = 249,308,672/x
  3. Step 3: Cross multiply
    164,792,064x = 249,308,672 × 249,308,672
  4. Step 4: Simplify right side
    164,792,064x = 62,154,813,934,403,584
  5. Step 5: Solve for x
    x = 62,154,813,934,403,584/164,792,064
  6. Step 6: Final answer
    x = 377,171,159.98

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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.