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Finding the Third Proportional to 46,007,254.13 and 98,478,730.13

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Solution

The third proportional to 46,007,254.13 and 98,478,730.13 is: 210,794,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,007,254.13 : 98,478,730.13 = 98,478,730.13 : x
  2. Step 2: Convert to fraction form
    46,007,254.13/98,478,730.13 = 98,478,730.13/x
  3. Step 3: Cross multiply
    46,007,254.13x = 98,478,730.13 × 98,478,730.13
  4. Step 4: Simplify right side
    46,007,254.13x = 9,698,060,287,032,582
  5. Step 5: Solve for x
    x = 9,698,060,287,032,582/46,007,254.13
  6. Step 6: Final answer
    x = 210,794,155.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.