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Finding the Third Proportional to 200,502,066 and 319,038,196

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Solution

The third proportional to 200,502,066 and 319,038,196 is: 507,652,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,066 : 319,038,196 = 319,038,196 : x
  2. Step 2: Convert to fraction form
    200,502,066/319,038,196 = 319,038,196/x
  3. Step 3: Cross multiply
    200,502,066x = 319,038,196 × 319,038,196
  4. Step 4: Simplify right side
    200,502,066x = 101,785,370,506,934,416
  5. Step 5: Solve for x
    x = 101,785,370,506,934,416/200,502,066
  6. Step 6: Final answer
    x = 507,652,477.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.