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Finding the Third Proportional to 209,300,155,740 and 459,121,272,660

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Solution

The third proportional to 209,300,155,740 and 459,121,272,660 is: 1,007,129,413,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,300,155,740 : 459,121,272,660 = 459,121,272,660 : x
  2. Step 2: Convert to fraction form
    209,300,155,740/459,121,272,660 = 459,121,272,660/x
  3. Step 3: Cross multiply
    209,300,155,740x = 459,121,272,660 × 459,121,272,660
  4. Step 4: Simplify right side
    209,300,155,740x = 210,792,343,008,938,052,026,368
  5. Step 5: Solve for x
    x = 210,792,343,008,938,052,026,368/209,300,155,740
  6. Step 6: Final answer
    x = 1,007,129,413,084.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.